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Questions where the notion matrix has an important or crucial role (for the latter, note the tag matrix-theory for potential use). Matrices appear in various parts of mathematics, and this tag is typically combined with other tags to make the general subject clear, such as an appropriate top-level tag ra.rings-and-algebras, co.combinatorics, etc. and other tags that might be applicable. There are also several more specialized tags concerning matrices.
11
votes
3
answers
660
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System of quadratic equations
Let $B_1,\ldots,B_s$ be $(s\times s)$ symmetric real matrices and $x=\left(x_1,\ldots,x_s\right)^\prime$ a $(s\times 1)$ vector of unknowns. … the analytical solutions of the system of equations:
\begin{eqnarray}
x^\prime B_1 x & = & 1\\
&\vdots &\\
x^\prime B_s x & = & 1\\
\end{eqnarray}
based on the characteristics of the $B_1,\ldots,B_s$ matrices …
2
votes
2
answers
197
views
Eigen problem with constrained (equal) eigenvalues
Let $\Omega$ be a symmetric and positive definite matrix. From a test of hypothesis I know that some eigenvalues are likely to be equal (the test also suggests which eigenvalues). Do you have any sugg …