One can make a symmetric square matrix out of any m-by-n matrix $M$ by computing the matrix $MM^T$ (or $M^T M$). Is there a name for this operation? I want to call it "symmetrizing" the matrix, but I assume there is already a name for this.
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2Symmetrizing a matrix would generally refer to $\frac{1}{2}(M+M^T)$. – Jahan Claes Jul 02 '15 at 15:24
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1$M^TM$ is referred to as the "Gram matrix" of $M$ – Ben Grossmann Jul 02 '15 at 15:27
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1There has been a thread on this, maybe this helps: http://math.stackexchange.com/questions/158219/is-a-matrix-multiplied-with-its-transpose-something-special – Bernhard Jul 02 '15 at 15:30