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Q15E
Expert-verifiedIf the nxn matrices A and B are symmetric and B is invertible, which of the matrices in Exercise 13 through 20 must be symmetric as well?AB.
The Matrix AB is not symmetric.
A square matrix is symmetric matrix if
Given that A and B are symmetric matrices and B is invertible.
Since A is symmetric, then .
Then by properties of transpose, it gives,
Therefore,AB is not a symmetric matrix.
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