- 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
Symmetric Matrix also
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

Seonglae Cho