Matrix Square

Creator

Creator

Created

Created

2023 Apr 17 15:24

Editor

Editor

Edited

Edited

2023 Apr 17 15:35

Refs

Refs

Matrix multiplication is inner product of a row of A with a column of AT

But the columns of AT are the rows of A, so the entry corresponds to the inner product of tworows of A If pij is the entry of the product

So it is symmatric

A^2 = A^TA

Symmetric Matrix also

Symmetric positive semi-definite

Is a matrix multiplied with its transpose something special?

In my math lectures, we talked about the Gram-Determinant where a matrix times its transpose are multiplied together. Is $A A^\mathrm T$ something special for any matrix $A$?

https://math.stackexchange.com/questions/158219/is-a-matrix-multiplied-with-its-transpose-something-special

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