Question

If A and B are symmetric matrices of the same order and P=AB+BA Q=AB-BA,then transpose of PQ is equal to ​

Answer 1

Answer:

(c) -QP

Step-by-step explanation:

Since A and B are symmetric, this means that A' = A and B' = B.

Then

P' = ( AB + BA )' = (AB)' + (BA)' = B'A' + A'B' = BA + AB = P

and

Q' = ( AB - BA )' = (AB)' - (BA)' = B'A' - A'B' = BA - AB = -Q.

So

(PQ)' = Q'P' = -QP.

Answer 2

Answer:

ab+pq

Step-by-step explanation:the explaination is too long