Equal Sets
Two sets A and B are said to be equal if and only if they contain the same elements i.e. if every element of A is in B and every element of B is in A. We denote the equality by A = ..
Basic number theory question and answers
Question 1 - Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Keral..
Question 1 - Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Keral..Scalar Matrix
A scalar matrix is a diagonal matrix in which all the diagonal elements are equa..
Finite and Infinite Sets
A set is finite if it contains a specific number of elements. Otherwise, a set is an infinite s..
Cardinality of a Set A
The number of elements in a finite set A, is the cardinality of A and is denoted by n(A..
Commutative Property Definition
If the order of element under binary operation does not change the end result then the binary operation is know as commutati..
(ii) Set builder Method
This method is also known as Property method. In this method, a set is represented by stating all the properties which are satisfied by the elements of the set and not by any other element. If A contains all values of 'x' for which the condition P(x) is true, then we write A = ..
Multiplication of a Matrix by a Scalar
When a matrix is multiplied by a scalar factor k, then each element of the matrix is multiplied by ..
Intersection of sets
A set can be formed by using all the common elements of two given sets. Such a collection is called the intersection of the given set..
Elementary Transformation
Elementary transformations are of the following three types: Interchange of any two rows (or columns) The multiplication of the elements of a row (or column) by a non-zero number. The addition to the elements of any row (or column) the corresponding elements o..
Result
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