Portfolio by VACHIRAPOL SITTIGUL https://padlet.com/6331306043/pso2i9dtl83iqj3g Mathematics for Information Technology 2 en-us 2021-09-12 14:39:18 UTC 2024-01-30 12:24:40 UTC hello@padlet.com https://padlet.net/icons/png/1f601.png What is Matrix? 6331306043 https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733789767 n mathematics, a matrix (plural matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. Matrices are commonly written in box brackets. The horizontal and vertical lines of entries in a matrix are called rows and columns, respectively. The size of a matrix is defined by the number of rows and columns that it contains. A matrix with m rows and n columns is called an m × n matrix or m m -by- n n n matrix, while m and n are called its dimensions.The dimensions of the following matrix are 
2 × 3 2×3
 up(read “two by three”), because there are two rows and three columns.
]]> 2021-09-12 14:41:40 UTC https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733789767 EX 6331306043 https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733799038 2021-09-12 14:48:01 UTC https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733799038 Transpose 6331306043 https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733801591 In linear algebra, the transpose of a matrix is an operator which flips a matrix over its diagonal; that is, it switches the row and column indices of the matrix A by producing another matrix, often denoted by AT (among other notations).]]> 2021-09-12 14:49:44 UTC https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733801591 In mathematics, particularly in linear algebra, matrix multiplication is a binary operation that produces a matrix from two matrices. For matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix. The resulting matrix, known as the matrix product, has the number of rows of the first and the number of columns of the second matrix. The product of matrices A and B is denoted as AB.[1][2]Matrix multiplication was first described by the French mathematician Jacques Philippe Marie Binet in 1812,[3] to represent the composition of linear maps that are represented by matrices. Matrix multiplication is thus a basic tool of linear algebra, and as such has numerous applications in many areas of mathematics, as well as in applied mathematics, statistics, physics, economics, and engineering.[4][5] Computing matrix products is a central operation in all computational applications of linear algebra. 6331306043 https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733802985 2021-09-12 14:50:46 UTC https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733802985 Linear Equation 6331306043 https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733806808
a mathematical expression that has an equal sign and
linear expressions]]> 2021-09-12 14:53:33 UTC https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733806808 Linear Expressions 6331306043 https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733817007 A linear expression is an algebraic expression where each term is either a numeric constant or a variable raised only to the first power. It is most commonly seen in linear equations.]]> 2021-09-12 15:00:24 UTC https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733817007 System of linear equations 6331306043 https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733822330 In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same set of variables.] For example, ]]> 2021-09-12 15:04:02 UTC https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733822330 6331306043 https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733824543
In mathematics, a set is a collection of elements.[1][2][3] The elements that make up a set can be any kind of mathematical objects: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.[4] The set with no element is the empty set; a set with a single element is a singleton. A set may have a finite number of elements or be an infinite set. Two sets are equal if and only if they have precisely the same elements.[5]


Sets are ubiquitous in modern mathematics. Indeed, set theory, more specifically Zermelo–Fraenkel set theory, has been the standard way to provide rigorous foundations for all branches of mathematics since the first half of the 20th century.

]]> 2021-09-12 15:05:32 UTC https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733824543 6331306043 https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733826910 2021-09-12 15:07:03 UTC https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733826910 6331306043 https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733829138 Set equality is the term that is used to indicate that two sets are equal. Any two sets, finite or infinite, are equal if they contain the same elements.
Consider two sets, A and B. These two sets are only equal if and only if each element of set A also exists in set B. The order of the two sets’ elements does not matter as long as the elements are the same. Let’s consider the following two sets, A and B, to understand this statement.

A = {1, 2, 3, 4}

B = {2, 4, 1, 3}

By observing the two sets A and B, it is evident that although the two sets A and B are different, they contain the same elements.
]]> 2021-09-12 15:08:33 UTC https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733829138 Venn diagram 6331306043 https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733831946 A Venn diagram is a widely used diagram style that shows the logical relation between sets, popularized by John Venn in the 1880s. The diagrams are used to teach elementary set theory, and to illustrate simple set relationships in probability, logic, statistics, linguistics and computer science. A Venn diagram uses simple closed curves drawn on a plane to represent sets. Very often, these curves are circles or ellipses.]]> 2021-09-12 15:10:22 UTC https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733831946 What is logic 6331306043 https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733834270 Mathematical logic is the study of logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory. Research in mathematical logic commonly addresses the mathematical properties of formal systems of logic such as their expressive or deductive power.]]> 2021-09-12 15:11:46 UTC https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733834270 6331306043 https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733836972 Example: Not Proposition
• p: Let’s drink.
• q: a+b.
• r: Take a rest.
• S: A-B=3.
• t: DO IT NOW!
• u: The School of IT]]> 2021-09-12 15:13:39 UTC https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733836972 Negative Operator (NOT) 6331306043 https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733837639 2021-09-12 15:14:06 UTC https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733837639 Conjunction 6331306043 https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733838294 Let p and q be propositions. The conjunction of p and q,
denoted by p Ù q, is the proposition “p and q.”]]> 2021-09-12 15:14:35 UTC https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733838294 Conditional Proposition or a Material Implication 6331306043 https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733841523 2021-09-12 15:16:43 UTC https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733841523 Basic gates 6331306043 https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733845330 2021-09-12 15:19:35 UTC https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733845330 LOGIC GATES 6331306043 https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733845646 •Inverter, Or, And, XOR gate symbols, etc.
•Multi-input gates.
•Logic circuits and examples.
•Adders, “half,” “full,” and n-bit.]]> 2021-09-12 15:19:51 UTC https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733845646 6331306043 https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733846280 2021-09-12 15:20:21 UTC https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733846280 6331306043 https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733847343 2021-09-12 15:21:10 UTC https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733847343 6331306043 https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733847722 2021-09-12 15:21:26 UTC https://padlet.com/6331306043/pso2i9dtl83iqj3g/wish/1733847722