Q13 of 124 Page 201

For each of the following pairs of matrices A and B, verify that (AB)’ = (B’ A’) :

and B = [-2 -1 -4]


Let us take C = AB




LHS = C’



To find RHS we will find transpose of matrix A and B,


And


RHS = B’A’




LHS = RHS


Hence proved.


More from this chapter

All 124 →
13 A

For each of the following pairs of matrices A and B, verify that (AB)’ = (B’ A’) :

and


13 B

For each of the following pairs of matrices A and B, verify that (AB)’ = (B’ A’) :

and


13 D

For each of the following pairs of matrices A and B, verify that (AB)’ = (B’ A’) :

and


14

If show that A’A = I.