If 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? 3A.
The Matrix 3A is 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, 3A is a symmetric matrix.
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