Question

3) If A and B are matrices, then which from
the following is not true?
as A+B BAA
LICA 1+]"t-A
d AB - BA
d all are true​

Answer 1

Given, A=A

B=B

Now (A(BA))=(BA)A=(AB)A=(AB)A

=A(BA)

Similarly ((AB)A)=(AB)A

So, A(BA) and (AB)A are symmetric matrices.

Again (AB)=BA

Now if BA=AB, then AB is symmetric matrix.

Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.

Hence, option 'B' is correct.