Transpose Of Matrices
Properties of Matrix transpose:
1. If a matrix is transposed twice, it leads to original matric istestlf. ie if A is a matrix of mxn order, then ( ( Amxn ' ) ' ) = A mxn
2. If A is a matrix and k is a scaler quantity , then (kA) ' = k (A'),
3. If A and B are two different matrices, then
- ( A + B ) ' = ( A' + B' )
- (A . B )' = A' . B'