# Tagged Questions

For any topic related to matrices. This includes: systems of linear equations, eigenvalues and eigenvectors (diagonalization, triangularization), determinant, trace, characteristic polynomial, adjugate, transpose, Jordan normal form, matrix algorithms (e.g. LU, Gauss elimination, SVD, QR), ...

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### Power series of matrix which is multiplied by a constant factor $c<1$?

(Important: THIS PROBLEM IS NOT DUPLICATED! Note that the case where just one row of $W$ is multiplied by constant $c$, can be handled by the Sherman-Morrison theorem, but the case where the whole ...
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### Topologically equivalence of a metric on matrices

Define a function on the set of $n\times n$ matrices by $\rho(A,B)=\operatorname{rank}(A-B).$ Prove that $\rho$ is a metric that is topologically equivalent to the discrete metric.
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### Matrix expression

The products $P$ and $Q$ are to be processed using two machines, $A$ and $B$. Each unit of $P$ requires $6$ hours in machine $A$ and $2$ hours in machine $B$ while each unit of $Q$ requires $5$ hours ...
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### Row space and kernel in linear transformations

I am preparing a "dictionary" that translates between the "language of matrices" and the "language of linear transformations" in linear algebra. The dictionary looks more or less like this: Language ...
46 views