SOLUTION: If A is a symmetric n x n matrix and B is n x m, then BtAB is symmetric m x m matrix. is this statement true or false

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Question 1027621: If A is a symmetric n x n matrix and B is n x m, then BtAB is symmetric m x m matrix.
is this statement true or false

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
%28B%5Et%2AA%2AB%29%5Et+=+B%5Et%2AA%5Et%2A%28B%5Et%29%5Et+=+B%5Et%2AA%5Et%2AB=B%5Et%2AA%2AB, since A is symmetric, and so the statement is TRUE.