if A= 1 3 2 4 - Maths - Matrices

Question

if A= 1 3
2 4 and B = -1 2
3 5 verify that (AB)' = B'A'

Sushant Ranjan · Accepted Answer

Dear Student,

A = 1324 ; B = -1235So,A' = 1234 ; B' = -1325    ( where A' and B' are the transpose of A and B respectively )Now,AB =1324-1235 = 1*(-1)+3*31*2+3*52*(-1)+4*32*2+4*5 = -1+92+15-2+124+20 = 8171024so, (AB)' = 8101724      ( where (AB)' is the transpose of AB)Again,B'A' =-13251234 = 1*(-1)+3*32*(-1)+4*31*2+3*52*2+4*5 =  -1+9-2+122+154+20 = 8101724Therefore, we could see that (AB)' = B'A'

Regards

if A= 1 3 2 4 and B = -1 2 3 5 verify that (AB)' = B'A'

if A= 1 3
2 4 and B = -1 2
3 5 verify that (AB)' = B'A'