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CBSE Class 12-science Answered

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 | 07 Oct, 2020, 09:41: AM
answered-by-expert 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 | 30 Oct, 2020, 10:34: AM

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