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Is it true that $M^{-1}\in [\{M^i: i\geq0\}]$ for all $M\in\mathsf{GL}(7,\mathbb{C})$?

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#linear-algebra #matrices
72
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Find the Kernel of $V$

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#linear-algebra #matrices #vector-spaces #vectors #vector-analysis
1.2k
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Why are skew-symmetric matrices of interest?

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#matrices #algebraic-geometry #reference-request #soft-question #skew-symmetric-matrices
550
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Proof check: AB not invertible

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#linear-algebra #matrices #proof-verification #inverse
714
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MLE of Multivariate Normal Distribution

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#matrices #statistics #parameter-estimation #maximum-likelihood
62
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Joint Optimization problem over Matrix

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#matrices #optimization #trace
36
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The matrix calculation in exponentionwhy is $-x^T\Lambda^{-1}m-m^T\Lambda^{-1}x=-2m^T\Lambda^{-1}x$?

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#matrices #exponentiation #matrix-calculus
95
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How to prove the necessary conditions for checking the positive semidefiniteness of a $2$ by $2$ matrix?

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#matrices #quadratic-forms #positive-semidefinite
471
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Express a power of an orthogonal matrix in different ways

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#linear-algebra #matrices #eigenvalues-eigenvectors #diagonalization
85
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Quadratic form of the $3\times 3$ symmetric matrix

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#matrices #positive-definite #positive-semidefinite
683
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Why WolframAlpha does LU decomposition with pivoting even when it isn't needed?

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#linear-algebra #matrices #matrix-decomposition #wolfram-alpha #lu-decomposition
350
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Taylor expansion with respect to a matrix argument

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#matrices #taylor-expansion
258
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product of diagonal matrix and positive definite hermitian matrix diagonnaly dominant

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#matrices #positive-definite #positive-semidefinite
64
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Proving that $\overline{\underline v}^T\overline{A}^TA\underline v\geq0$

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#linear-algebra #matrices
25
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Show that $p^*(\mathbb{R}^N)=L^*$

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#matrices #statistics

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