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matrix | ˈmeɪtrɪks |

noun (plural matrices | ˈmeɪtrɪsiːz | or matrixes)

1 the cultural, social, or political environment in which something develops: Oxbridge was the matrix of the ideology.

2 a mass of fine-grained rock in which gems, crystals, or fossils are embedded: nodules of secondary limestone set in a matrix of porous dolomite | [mass noun] : such fossils will often be partly concealed by matrix. • Biology the substance between cells or in which structures are embedded: the lipid matrix of olfactory cells. • fine material used to bind together the coarser particles of a composite substance: the matrix of gravel paths is hoed regularly.

3 a mould in which something, such as a record or printing type, is cast or shaped: her two duets with Isobel Baillie were never issued and the matrices were destroyed.

4 Mathematics a rectangular array of quantities or expressions in rows and columns that is treated as a single entity and manipulated according to particular rules: this formula applies for all square matrices. • a grid-like arrangement of elements; a lattice: a sparse matrix is a data structure in which few of the potential elements are filled out.

5 an organizational structure in which two or more lines of command, responsibility, or communication may run through the same individual: [as modifier] :  matrix structures are said to foster greater flexibility.
Oxford Dictionary
https://www.slideshare.net/AdilAslam4/matrices-in-discrete-mathematics-and-its-applications

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matrices are an array of number that look something like this
[24  5  -9]
[ 5  13  1]

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Graphic software such as Adobe Photoshop on your personal computer uses matrices to process linear transformations to render images. A square matrix can represent a linear transformation of a geometric object.

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Graphic software such as Adobe Photoshop on your personal computer uses matrices to process linear transformations to render images. A square matrix can represent a linear transformation of a geometric object.

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row matrix, column matrix, zero matrix, square matrix, diagonal matrix, unit matrix and equal matrices

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row matrix, column matrix, zero matrix, square matrix, diagonal matrix, unit matrix and equal matrices

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Matrix is an array of numbers.
The numbers, symbols or expressions in the matrix are called its entries or its elements. With m by n dimensions.

Matrixes with single row are called row vectors, single colour is colour vector. When m=n, it’s a square matrix. An empty matrix has no dimensions.

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Matrices and inverse matrices are used for coding and encrypting messages. A message is made as a sequence of numbers in a binary format for communication and it follows code theory for solving.

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row, column, zero, equal, square, diagonal, unit and equal matricss

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Example of a Matrix

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Football + Matrices in 90 seconds | Don't Memorise

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A matrix is an array of numbers. https://www.mathsisfun.com/algebra/matrix-introduction.html

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In mathematics, a matrix (plural: matrices) is a rectangular array[1] of numbers, symbols, or expressions, arranged in rows and columns.
https://en.wikipedia.org/wiki/Matrix_(mathematics)
dora

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From Online Math Learning

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https://www.youtube.com/watch?v=w0NN-oA1JmQ

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In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. For example, the dimensions of the matrix below are 2 × 3, because there are two rows and three columns: Provided that they have the same size, two matrices can be added or subtracted element by element.

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A Matrix is an array of numbers.

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What is Matrices(Khan Academy)

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Introduction to the matrix | Matrices | Precalculus | Khan Academy

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luwuigi

row switching

basically switching the rows around to make it nicer? nonnii

row multiplication

what

row addition

"similar to solving linear equations"

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Square, diagonal, zero and identify matrix

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Itsamemario
Sub to me

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Rows Matrix

Columns Matrix

Rectangular Matrix

Square Matrix

Diagonal Matrix

Scalar Matrix

Identity Matrix

Triangular Matrix

Null or Zero Matrix

Transpose of a Matrix

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https://www.youtube.com/watch?v=_Sf9-ikKSHA

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Rows Matrix
Column Matrix
Circulant Matrix
Square Matrix
Identity Matrix
Scalar Matrix

Source: http://www.maths.surrey.ac.uk/explore/emmaspages/option1.html

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Rows Matrix.
Columns Matrix.
Rectangular Matrix.
Square Matrix.
Diagonal Matrix.
Scalar Matrix.
Identity Matrix.
Triangular Matrix.

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Rows Matrix.
Columns Matrix.
Rectangular Matrix.
Square Matrix.
Diagonal Matrix.
Scalar Matrix.
Identity Matrix.
Triangular Matrix.

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Photo

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https://www.purplemath.com/modules/mtrxrows.htm

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In physics related applications, matrices are used in the study of electrical circuits, quantum mechanics and optics. Engineers use matrices to model physical systems and perform accurate calculations needed for complex mechanics to work. Electronics networks, airplane and spacecraft, and in chemical engineering all require perfectly calibrated computations which are obtained from matrix transformations. In hospitals, medical imaging, CAT scans and MRI’s, use matrices to operate.

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https://en.wikipedia.org/wiki/Matrix_(mathematics)

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In mathematics, a matrix (plural: matrices) is a rectangular array of numbers, symbols and expressions, arranged in rows and columns.

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The individual items in an m× n matrix A, often denoted by a, where i and j usually vary from 1 to m and n, respectively, are called its elements or entries.

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Row Matrix:
A matrix is said to be a row matrix if it has only one row.

e.g.

A=[123]A=[123]

Column Matrix:
A matrix is said to be a column matrix if it has only one column.

e.g.

B=⎡⎣⎢⎢123⎤⎦⎥⎥B=[123]

Rectangular Matrix:
A matrix is said to be rectangular if the number of rows is not equal to the number of columns.

e.g.

A=[123542]A=[134252]

Square Matrix:
A matrix is said to be square if the number of rows is equal to the number of columns.

e.g.

B=⎡⎣⎢⎢151329446⎤⎦⎥⎥B=[134524196]

Diagonal Matrix:
A square matrix is said to be diagonal if at least one element of principal diagonal is non-zero and all the other elements are zero.

e.g.

D=⎡⎣⎢⎢100020003⎤⎦⎥⎥D=[100020003]

Scalar Matrix:
A diagonal matrix is said to be scalar if all of its diagonal elements are the same.

e.g.

A=⎡⎣⎢⎢200020002⎤⎦⎥⎥A=[200020002]

Identity or Unit Matrix:
A diagonal matrix is said to be identity if all of its diagonal elements are equal to one, denoted by II.

e.g.

I=[1001],I=⎡⎣⎢⎢100010001⎤⎦⎥⎥I=[1001],I=[100010001]

Triangular Matrix:
A square matrix is said to be triangular if all of its elements above the principal diagonal are zero (lower triangular matrix) or all of its elements below the principal diagonal are zero (upper triangular matrix).

e.g:

A=⎡⎣⎢⎢123045006⎤⎦⎥⎥A=[100240356]

! (Lower Triangular Matrix)

B=⎡⎣⎢⎢500810327⎤⎦⎥⎥B=[583012007]

(Upper Triangular Matrix)

Null or Zero Matrix:
A matrix is said to be a null or zero matrix if all of its elements are equal to zero. It is denoted by OO.

e.g.

O=[0000],O=⎡⎣⎢⎢000000000⎤⎦⎥⎥O=[0000],O=[000000000]

Transpose of a Matrix:
Suppose AA is a given matrix, then the matrix obtained by interchanging its rows into columns is called the transpose of AA. It is denoted by AtAt.

e.g.
Let

A=[182436]A=[123846]

then

At=⎡⎣⎢⎢123846⎤⎦⎥⎥

Read more: https://www.emathzone.com/tutorials/algebra/types-of-matrices.html#ixzz5i6HlBReG

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In mathematics, a matrix (plural: matrices) is a rectangular array[1] of numbers, symbols, or expressions, arranged in rows and columns. For example, the dimensions of the matrix below are 2 × 3 (read "two by three"), because there are two rows and three columns:

[ 1  9  13 ]
[ 20 5 -6 ]

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A Matrix is an array of numbers:

A Matrix
(This one has 2 Rows and 3 Columns)

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a rectangular array of quantities or expressions in rows and columns that is treated as a single entity and manipulated according to particular rules
 an organised structure in which two or more lines of command, responsibility, or communication may run through the same individual.

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a rectangular array of quantities or expressions in rows and columns that is treated as a single entity and manipulated according to particular rules
 an organised structure in which two or more lines of command, responsibility, or communication may run through the same individual.

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матяіх, матрикс, матрица

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матяіх, матрикс, матрица

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Matrices are rectangular arrays of numbers in rows and columns and follow some
Milo van who added this milo van?

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Disclaimer: This work has been submitted by a student. This is not an example of the work produced by our essay writing service. You can view samples of our professional work here.

Any opinions, findings, conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of UK Essays.
Application of matrix in daily life
Matrices are used much more in daily life than people would have thought. In fact it is in front of us every day when going to work, at the university and even at home.

Graphic software such as Adobe Photoshop on your personal computer uses matrices to process linear transformations to render images. A square matrix can represent a linear transformation of a geometric object.

For example, in the Cartesian X-Y plane, the matrix reflects an object in the vertical Y axis. In a video game, this would render the upside-down mirror image of an assassin reflected in a pond of blood. If the video game has curved reflecting surfaces, such as a shiny metal shield, the matrix would be more complicated, to stretch or shrink the reflection.

In physics related applications, matrices are used in the study of electrical circuits, quantum mechanics and optics. Engineers use matrices to model physical systems and perform accurate calculations needed for complex mechanics to work. Electronics networks, airplane and spacecraft, and in chemical engineering all require perfectly calibrated computations which are obtained from matrix transformations. In hospitals, medical imaging, CAT scans and MRI's, use matrices to operate.

Whereas in programming which is taught at the university, matrices and inverse matrices are used for coding and encrypting messages. A message is made as a sequence of numbers in a binary format for communication and it follows code theory for solving.

In robotics and automation, matrices are the basic components for the robot movements. The inputs for controlling robots are obtained based on the calculations from matrices and these are very accurate movements.

Many IT companies also use matrices as data structures to track user information, perform search queries, and manage databases. In the world of information security, many systems are designed to work with matrices. Matrices are used in the compression of electronic information, for example in the storage of biometric data in the new Identity Card in Mauritius.

In geology, matrices are used for making seismic surveys. They are used for plotting graphs, statistics and also to do scientific studies and research in almost different fields. Matrices are also used in representing the real world data's like the population of people, infant mortality rate, etc. They are best representation methods for plotting surveys. In economics very large matrices are used for optimization of problems, for example in making the best use of assets, whether labour or capital, in the manufacturing of a product and managing very large supply chains.
Application of Statistics in real-life problems.
Statistics can be defined as a type of mathematical analysis which involves the method of collecting and analyzing data and then summing up the data into a numerical form for a given set of factual data or real world observations.

In our daily life, we collect information which helps us in resolving questions regarding the world in which we live, that is statistics.

One main example is weather forecast. These charts and information that you see on the television are obtained using statistics that compare last weather conditions with current weather to predict future weather.

Whenever there's an election as the one coming in a few days in Mauritius, the press consult statistical surveys with the population when they try to predict the winner. Candidates use statistics to know for example that 20,000 of these voters will be between the age of 18 and 22, that is this will be their first election and thus try to focus their campaign more on benefits for these young adults. Statistics play a part in which your elected government will be consisted of.

In industries and businesses it is crucial to be fast and accurate in decision making. They use statistics to know what customers want and therefore know what to produce and sell and in what quantities. Statistics helps to plan production according to the taste of the customers, the quality of the products or availability of materials. Good decisions can be made about the location of business, marketing of the products, financial resources etc...

Statistics are also used in agriculture to know what amount of crops is grown this year in comparison to previous years or what has been the demand for a certain crop during the past 5 years or quality and size of vegetables grown due to use of different fertilizers.

Last Friday was the results day for the CPE exams in Mauritius and statistics were used to compare the different pass rates for girls compared to boys and how the whole pass rate have evolved during the past years. These statistics helps the government to determine whether the education system in the country needs to be modified or completely re-implemented.

In medical studies scientists must show a statistically valid rate of efficacy before any drug can start to be prescribed in hospitals and pharmacies. Statistics are behind every medical study you hear about. For example an ongoing case, the Ebola virus. Statistics are used to determine the number of infected persons in different countries and these data helps to warn neighbouring countries about the risks they are exposed to.
Application of Regression in real-life problems.
Correlation and regression are largely used methods to look into the relationships between quantitative variables. A correlation looks at the validity of the relationship between variables and regression helps to determine the nature of the relationship, or how it behaves. This allows predictions to be made. These methods are very useful, but easily misused.

Regressions can be used in business to evaluate trends and make estimates. For e.g. if a company's sales have increased rapidly every month for the past years, using a linear regression on the sales data with monthly sales on the y-axis and time on the x-axis would produce a line that illustrates the ascending trend in sales. After obtaining the trend line, the company could use the slope of the line to anticipate sales in future months.

A company can use linear regression to determine the best sale price for a certain product bought by customers. This can be done by plotting a graph of price against quantity. The resulting line would denote how customers reduce their consumption of the product as the price increases. This could help in decision making of the prices of future products.

Linear regression can be used in assessing risk. For e.g. a health insurance company shall plot number of claims per customer against age and by reading the graph deduce that older customers tend to make more health insurance claims. The results of such an analysis might lead to important business decisions made to account for risks.
Application of Correlation in real-life problems.
For e.g. a researcher suggested that taller people have higher self-esteem. After analyzing his data and coming up with an r-value of .08, he abandons his hypothesis because the two variables do not appear to be strongly related at all.

Another area where correlation is used is in the study of intelligence where research has been carried out to test the strength of the relationship between the I.Q. levels of identical and non-identical twins.

In medical studies, correlation is used widely and one e.g. is the study to test if glucose level is related to the age of a person.

Correlation is mostly used in research studies. In schools for e.g. a use of correlation would be the study of how a student who has many absences has a decrease in grades or the more years of education you complete, the higher your earning potential will be.

In the sports area correlation is used broadly by coaches to develop workout routines. Some common correlations are: the more time a person spends running on a treadmill, the more calories he will burn or the more you exercise your core muscles, the more stable your body gets.

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Disclaimer: This work has been submitted by a student. This is not an example of the work produced by our essay writing service. You can view samples of our professional work here. Any opinions, findings, conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of UK Essays.

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An array of elements that the computer can decode.

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Матяіх, матрикс, матрица PI(neapple) day  who added this pineapple?

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Матяіх, матрикс, матрица PI(neapple) day  who added this pineapple?

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in geology, matrices are used for making seismic surveys. They are used for plotting graphs, statistics and also to do scientific studies and research in almost different fields. Matrices are also used in representing the real world data's like the population of people, infant mortality rate, etc

Matrices can be used to make seismic surveys. they are used to plot graphs, statistics and do studies and re

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In physics related applications, matrices are used in the study of electrical circuits, quantum mechanics and optics. Engineers use matrices to model physical systems and perform accurate calculations needed for complex mechanics to work. Electronics networks, airplane and spacecraft, and in chemical engineering all require perfectly calibrated computations which are obtained from matrix transformations. In hospitals, medical imaging, CAT scans and MRI’s, use matrices to operate.
Tmr is friday

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Matrices

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An example of a square matrix with variables, rather than numbers, is . This is a square matrix because the number of rows equals the number of columns. We can only add matrices of the same dimensions, because we add the corresponding elements. . Matrix multiplication is another matter entirely.

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https://apessay.com/order/?rid=359c285a5039b0ae&noapp=1&edugram_request_id=5c899d8434d102.14729598

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- Computer Graphics

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matrices are used in the study of electrical circuits, quantum mechanics and optics. Engineers use matrices to model physical systems and perform accurate calculations needed for complex mechanics to work. Electronics networks, airplane and spacecraft, and in chemical engineering all require perfectly calibrated computations which are obtained from matrix transformations. In hospitals, medical imaging, CAT scans and MRI’s, use matrices to operate.

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Rectangular Matrix
Square Matrix
Diagonal Matrix
Scalar Matrix
Identity Matrix
Triangular Matrix
Null or Zero Matrix
Transpose of a Matrix

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Rectangular Matrix
Square Matrix
Diagonal Matrix
Scalar Matrix
Identity Matrix
Triangular Matrix
Null or Zero Matrix
Transpose of a Matrix

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Матрикс, матрица

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Row addition, row subtraction and row multiplic

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There are several types of matrices, but the most commonly used are:

1. Rows Matrix

2. Columns Matrix

3. Rectangular Matrix

4. Square Matrix

5. Diagonal Matrix

6. Scalar Matrix

7. Identity Matrix

8. Triangular Matrix

9. Null or Zero Matrix

10. Transpose of a Matrix

Read more: https://www.emathzone.com/tutorials/algebra/types-of-matrices.html#ixzz5i6JUOMbv

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https://www.google.com/url?sa=i&rct=j&q=&esrc=s&source=images&cd=&cad=rja&uact=8&ved=2ahUKEwja36fXrYDhAhX67XMBHUE5CAMQjRx6BAgBEAU&url=http%3A%2F%2Fcbtermpaperefzq.romerandlane.com%2Fmath-matrix-mufily1654.html&psig=AOvVaw2_0Dnwgs3ZGoDKmGYTNIR8&ust=1552608595715408

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https://youtu.be/sYlOjyPyX3g
Pi day today, friday tmr.

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Addition, subtraction, multiplication, with rows and columns

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In mathematics, a matrix (plural: matrices) is a rectangular array[1] of numbers, symbols, or expressions, arranged in rows and columns.[2][3] For example, the dimensions of the matrix below are 2 × 3 (read "two by three"), because there are two rows and three columns:

{\displaystyle {\begin{bmatrix}1&9&-13\\20&5&-6\end{bmatrix}}.}

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Graphic software such as Adobe Photoshop on your personal computer uses matrices to process linear transformations to render images.

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Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and parents.

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Enter your matrix in the cells or type in the data area