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Question on matrices

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#matrix-equations #matrix-calculus #matrix-decomposition #mathematicians #matrix-congruences
195
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Entries to find a positive definite matrix as solution of Lyapunov equation.

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#matrices #matrix-equations
160
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Conditions to preserve Laplacian matrix

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#linear-algebra #matrices #matrix-equations #graph-laplacian
2.1k
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How to solve series of 8 equations with 8 unknowns?

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#matrices #matrix-equations
94
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How to solve this matrix equation? Does the solution have a closed-form?

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#matrix-equations #nonlinear-optimization #matrix-calculus
46
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Matrix Equation? Maybe showing $AB=I_n$ works.

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#matrix-equations
136
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Prove $\begin{pmatrix} a&b\\ 2a&2b\\ \end{pmatrix} \begin{pmatrix} x\\y\\ \end{pmatrix}=\begin{pmatrix} c\\2c \\ \end{pmatrix}$

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#linear-algebra #matrices #matrix-equations
106
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how to insure integral coefficient linear equations has a unique integral solution

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#integration #matrix-equations
77
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Solving inhomogenous continuous-time system with non-diagonalisable system matrix

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#ordinary-differential-equations #systems-of-equations #matrix-equations
412
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gauss jordan matrix involving parameter $k$

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#linear-algebra #matrix-equations #gaussian-elimination
1.3k
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Check if solution to a system of linear equations is positive

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#linear-algebra #matrix-equations
571
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Are these statements equivalent?(invertible matrix theorem)

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#linear-algebra #matrix-equations
3.3k
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Proof if $I+AB$ invertible then $I+BA$ invertible and $(I+BA)^{-1}=I-B(I+AB)^{-1}A$

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#linear-algebra #matrices #eigenvalues-eigenvectors #matrix-equations
418
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Spectral decomposition of idempotent matrix

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#matrix-equations #matrix-decomposition
63
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Can a matrix M be written as A*B*C where A and C are symmetric positive definite?

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#matrices #matrix-equations

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