XII Maths Chapter 3. Matrix | Page 12

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 :