Transpose of a Matrix
Properties of multiplication of matrices
o o o
The associative law The distributive law The existence of multiplicative identity
Transpose of a Matrix
If A = [ aij ] be an m × n matrix, then the matrix obtained by interchanging the rows and columns of A is called the transpose of A. Transpose of the matrix A is denoted by A ′ or( AT). In other words, if A = [ aij ] m × n, then A ′ = [ aji ] n × m
Properties of Transpose of Matrix
Numerical: