Give an example of a symmetric matrix order 3×3. Let a and b be two symmetric matrics of the same order under what conditions AB will also be symmetric

Asked by yadavyogi294 | 7th Oct, 2020, 09:41: AM

Expert Answer:

A and B are symmetric matrices.
So, we have
AT = A and BT = B
(AB)T = BT AT = BA
AB will be symmetric if (AB)T = AB
So, (AB)T = AB if BA = AB
Hence, AB is symmetric if AB = BA

Answered by Renu Varma | 30th Oct, 2020, 10:34: AM