https://padlet.com/6331306027/rdbxe0ydhgk1md8r This is all the knowledge that I got from this class. en-us 2021-09-12 08:17:19 UTC 2025-02-21 00:11:36 UTC hello@padlet.com https://padlet.net/icons/png/1f4d6.png 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733516781  A set is a collection of objects, things or symbols which are clearly defined. ]]> 2021-09-12 10:47:05 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733516781 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733523040  A proposition is simply a statement with a definite meaning, having a truth value that’s either true or false ]]> 2021-09-12 10:54:58 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733523040 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733523351 A linear equation is an equation that is written for two different variables. This equation will be a linear combination of these two variables, and a constant can be present.]]> 2021-09-12 10:55:22 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733523351 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733523960 2021-09-12 10:56:08 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733523960 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733541116 The transpose of a matrix is simply a flipped version of the original matrix. We can transpose a matrix by switching its rows with its columns.]]> 2021-09-12 11:17:14 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733541116 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733792241 A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.]]> 2021-09-12 14:43:20 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733792241 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733799766 A matrix can only be added or subtracted from another matrix if the two matrices have the same dimensions.]]> 2021-09-12 14:48:33 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733799766 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733801223 If A is an m × n matrix and B is an n × p matrix, the matrix product C = AB is defined to be the m × p matrix


]]> 2021-09-12 14:49:28 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733801223 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733801693 The determinant is a scalar value that is a function of the entries of a square matrix.]]> 2021-09-12 14:49:48 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733801693 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733801968 The inverse of matrix is another matrix, which on multiplication with the given matrix gives the multiplicative identity. For a matrix A, its inverse is A-1, and A.A-1 = I.]]> 2021-09-12 14:50:01 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733801968 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733802609 The identity matrix is a matrix in which the diagonal entries are 1, and all other entries are zero.]]> 2021-09-12 14:50:29 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733802609 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733851327 A set a is a subset of another set b if all elements of set a are elements of set b. In other words, set a is contained inside set b. The subset relationship is]]> 2021-09-12 15:23:52 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733851327 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733851600 The power set is a set that includes all the subsets including the empty set and the original set itself.]]> 2021-09-12 15:24:06 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733851600 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733858483 A set can be defined by describing the contents, or by listing the elements of the set, enclosed in curly brackets.]]> 2021-09-12 15:29:10 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733858483 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733879700 Finite sets are sets having a finite or countable number of elements.
Infinite set can be understood as a set that is not finite. It is not possible to count the elements of an infinite set.]]> 2021-09-12 15:44:08 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733879700 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733885875 The empty set is a set that has no elements. It is usually denoted by some variant of zero with a line through it, for example, ∅ and can always be represented as {}.]]> 2021-09-12 15:49:02 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733885875 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733890466 A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items.]]> 2021-09-12 15:52:34 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733890466 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733896272 A universal set (usually denoted by U) is a set that has elements of all the related sets, without any repetition of elements.]]> 2021-09-12 15:57:34 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733896272 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733898438 The complement of set A, denoted by A’ , is the set of all elements in the universal set that are not in A. It is denoted by A’]]> 2021-09-12 15:59:24 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733898438 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733901800 2021-09-12 16:02:14 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733901800 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733907659  Difference of set A and B means all elements of set A which are not in B.]]> 2021-09-12 16:07:07 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733907659 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733929362 A system of linear equations is usually a set of two linear equations with two variables.]]> 2021-09-12 16:25:37 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733929362 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733940500 First, we need to find the inverse of the A matrix
Then multiply the inverse of A by B
And we are done.]]> 2021-09-12 16:35:27 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733940500 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733945835 2021-09-12 16:40:42 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733945835 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733946570 2021-09-12 16:41:26 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733946570 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733946958 2021-09-12 16:41:52 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733946958 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733947269 2021-09-12 16:42:12 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733947269 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733947634 2021-09-12 16:42:35 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733947634 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733955138 A compound statement, that is always true regardless of the truth value of the individual statements is defined to be a tautology. ]]> 2021-09-12 16:49:55 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733955138 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733959138 Logically equivalent statements are if statements have the same truth value in every model.]]> 2021-09-12 16:54:07 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1733959138 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1793610328 When the order doesn't matter, it is a Combination.

]]> 2021-10-05 15:58:35 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1793610328 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1793621677 When the order does matter it is a Permutation.

]]> 2021-10-05 16:01:55 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1793621677 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1793630590 2021-10-05 16:04:33 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1793630590 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1793635088 2021-10-05 16:05:55 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1793635088 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1793672030 2021-10-05 16:16:49 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1793672030 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1793672950 The events have to be independent ]]> 2021-10-05 16:17:06 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1793672950 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1793673632 The probability that either one of 2 different events will occur is the sum of their separate probabilities. ]]> 2021-10-05 16:17:19 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1793673632 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1793674131 The chance of an event not happening is 1 minus the chance of it happening. ]]> 2021-10-05 16:17:28 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1793674131 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1793674591 More complicated situations involve combining the AND and OR rules. ]]> 2021-10-05 16:17:37 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1793674591 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1793675390 Knowing that an event B occurred might affect the probability that another event A also occurred.]]> 2021-10-05 16:17:51 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1793675390 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1793681269 The product rule is P( E​F) = P(E)​P(F) where E and F are events that are independent.]]> 2021-10-05 16:19:39 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1793681269 6331306027 https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1793681985 The sum rule is given by P(A + B) = P(A) + P(B). Explain that A and B are each events that could occur, but cannot occur at the same time.]]> 2021-10-05 16:19:52 UTC https://padlet.com/6331306027/rdbxe0ydhgk1md8r/wish/1793681985