Transpose of a Matrix
The transpose of a matrix A is got by interchanging its rows and columns and is denoted by A' or A T . If A = [a i j ] m x n is a matrix of order mxn, the transpose of A = A' = [a j i ] n x m is a matrix of order n..
The transpose of a matrix A is got by interchanging its rows and columns and is denoted by A' or A T . If A = [a i j ] m x n is a matrix of order mxn, the transpose of A = A' = [a j i ] n x m is a matrix of order n..Scalar Matrix
A scalar matrix is a diagonal matrix in which all the diagonal elements are equa..
Properties of Transpose
(A T ) T = A (A + B) T = A T + B T , A and B being of the same order. (KA) T = KA T , k be any scalar (real or complex) (AB) T = B T A T ; A and B being conformable for the product 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 ..
Multiplication of a matrix by a scalar
Let A=[a i j ] be an m x n matrix and k be any number called a scalar. Then the matrix obtained by multiplying every element of A by k is called the scalar multiple of A by k and is denoted by kA. Thus, kA = [k a i j ] m x ..
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 ..
When a matrix is multiplied by a scalar factor k, then each element of the matrix is multiplied by ..Adjoint and Inverse of a Matrix
The adjoint of a square matrix [aij] is defined as the transpose of the matrix [Aij] where Aij are the cofactors of the elements aij. Adjoint of A is denoted by adj A. Let A be a square matrix of order n. If there exists a matrix B of o..
Adjoint and Inverse of a Matrix
Adjoint of a Square Matrix - The adjoint of a square matrix [a i j ] is defined as the transpose of the matrix [A i j ] where A i j are the cofactors of the elements a i j . Adjoint of A is denoted by adj ..
Adjoint of a Square Matrix - The adjoint of a square matrix [a i j ] is defined as the transpose of the matrix [A i j ] where A i j are the cofactors of the elements a i j . Adjoint of A is denoted by adj ..Adjoint of a Square Matrix The adjoint of a square matrix [a i j ] is defined as the transpose of the matrix [A i j ] where A i j are the cofactors of the elements a i j . Adjoint of A is denoted by adj A. ..
The adjoint of a square matrix [a i j ] is defined as the transpose of the matrix [A i j ] where A i j are the cofactors of the elements a i j . Adjoint of A is denoted by adj A. ..Find the scalar product of - 4 and the square matrix (50- 45).
Find the scalar product of - 4 and the square matrix ( 5 0 - 4 5 ) . => ( 20 0 16 20 ) or ( - 20 0 16 - 20 ) or ( - 20 0 16 20 ) or ( 20 0 16 - 20 )..
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