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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

5 votes
0 answers
109 views

Inverses of the sums of all possible subsets of a set of symmetric and positive definite mat...

I have a set of $c$ matrices $A_1 ... A_c$ which are all symmetric and positive definite. I would like to calculate the inverses of all the possible sums, i.e. $(A_1+A_2)^{-1},(A_1+A_3)^{-1},(A_2+A_3 …
Tzonathan's user avatar
2 votes
0 answers
475 views

Eigendecomposition of the Hadamard product of a rank one symmetric matrix and a positive def...

Is it possible to say anything about the eigenvalues and eigenvectors of a matrix $X = Y \circ xx^T$ where $Y$ is a positive definite symmetric matrix with known eigen-decomposition $Y=U\Lambda U^T …
Tzonathan's user avatar