Nov 6, 2015 · 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 ...

Sep 8, 2015 · Matrix multiplication is defined so that it works right to left, just like function composition. This allows matrices to represent linear transformations more intuitively. It's also …

Is it possible to multiply A[m,n,k] by B[p,q,r]? Does the regular matrix product have generalized form? I would appreciate it if you could help me to find out some tutorials online or …

Jun 17, 2017 · This might be a very stupid question, but I do not seem to understand why I would multiple a matrix with its transpose. I am not a mathematician, but I am very interested in …

Jan 11, 2018 · Matrix multiplication is associative, so you can do it in whichever order you like. You can prove it by writing the matrix multiply in summation notation each way and seeing …

Asking why matrix multiplication isn't just componentwise multiplication is an excellent question: in fact, componentwise multiplication is in some sense the most "natural" generalization of real …

Sep 28, 2019 · Yes, this is why it is called the identity matrix. Any matrix multiplied by the identity matrix is the original matrix, just as the multiplicative identity for $\mathbb {R}$ is $1$.

Which if we write in matrix form, we need to mathematically take the transpose of a vector and do 'matrix' multiplication to get the above dot product. So coming back full circle to the question - …

Apparently there is another way to multiply matrices where you work with whole columns of A to get the product AB. Does anyone know how to do that? If so, could you please provide a …

Jun 18, 2023 · I came across an interesting problem in a linear algebra problem book. This is the very first paragraph in the problem book, it deals with basic operations with matrices: …