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15
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Divide matrix on both sides of an equation

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#matrices #matrix-equations
269
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Show that $(A+B)^{-1}-A^{-1}=-(I+A^{-1}B)^{-1}A^{-1}BA^{-1}$

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#inverse #matrix-equations
71
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Faster way to check whether a set of $3 \times 3$ matrices is the subspace of some vector space?

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#linear-algebra #matrices #vector-spaces #matrix-equations
19
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Calculate column rank of a matrix

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#linear-algebra #matrices #matrix-equations
26
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Need Help Finding the Diagonal Matrix for a Given Eigenpair

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#linear-algebra #eigenvalues-eigenvectors #matrix-equations #diagonalization
65
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closed solution for non linear system

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#dynamical-systems #matrix-equations #matrix-calculus #matrix-exponential
117
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If A and B are positive semidefinite matrices, then $\mathrm{tr}( A^3B + AB^3)\ge 2\mathrm{tr}( A^2B^2)$.

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#linear-algebra #matrices #matrix-equations #matrix-decomposition
19
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Indices without a given domain in sum notation.

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#matrices #systems-of-equations #matrix-equations #kronecker-delta
65
Views

Can generating functions be used to solve evolution matrix differential equations and recurrence relations of matrices?

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#ordinary-differential-equations #generating-functions #matrix-equations #bessel-functions #matrix-exponential
25
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Nonsingularity of a twisted Toeplitz matrix

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#linear-algebra #matrices #reference-request #matrix-equations
107
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Jacobian and vectorization

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#linear-algebra #matrix-equations #matrix-calculus
111
Views

Square root of PSD matrix and unitary freedom

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#linear-algebra #matrices #matrix-equations #matrix-calculus #matrix-decomposition
78
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Showing there exists an $n\times n$ matrix that solves a given polynomial iff $n$ is even

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#linear-algebra #matrices #matrix-equations #minimal-polynomials #cayley-hamilton
61
Views

Trace of matrix logarithm for two invertible matrices

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#linear-algebra #matrices #complex-analysis #matrix-equations #multivalued-functions
30
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Existence of at most one matrix $A \in M_{2,3}(\mathbb{R})$ such that $BA =\operatorname{diag}(1,1,0).$

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#linear-algebra #matrices #solution-verification #problem-solving #matrix-equations

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