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$AB-BA=A^k$, then $A$ is not invertible

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#linear-algebra #matrices #determinant #inverse
78
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Group of matrices which share a fixed eigenvector is noncommutative

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#linear-algebra #matrices #eigenvalues-eigenvectors #abelian-groups
89
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Finding n-th term of a matrix

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#linear-algebra #matrices
591
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Problem on Determinant.

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#matrices #determinant
230
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Let $A_1,A_2\in GL(n,\mathbb C)$ commutes, show that $\log(A_1)$ commutes with $\log(A_2)$ (for some pair)

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#linear-algebra #matrices
112
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What do we call this operation(create a matrix from multiple vectors)?

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#matrices #vectors #terminology #physics
818
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Making plane parallel to $xy$ axis

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#linear-algebra #matrices #rotations #projective-geometry #projection
918
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Find the geometry of the curves of the contour lines of $f(x) = \frac{1}{2}x^tAx + b^tx + c$

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#linear-algebra #matrices #geometry #systems-of-equations
163
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Eigenvalues of an imperfect circulant matrix

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#matrices #eigenvalues-eigenvectors #circulant-matrices
286
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Show that the space of continuous functions on the compact Hausdorff space with matrix-value is a $C^*$-algebra

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#matrices #functional-analysis #c-star-algebras #banach-algebras
990
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Is there any condition for a 2x2 system of equations to have a positive solution?

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#linear-algebra #matrices #systems-of-equations #determinant
75
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Solution of a equation of matrices

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#matrices #systems-of-equations #matrix-equations #matrix-decomposition #symmetric-matrices
974
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Why can the trace of covariance matrix be the power?

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#matrices #covariance
664
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Binary matrix with columns sums equal to an array numbers, with unique rows sums

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#matrices #algorithms
473
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Eigenvector of a sum of two rotation matrices in SO(3)

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#linear-algebra #matrices #vector-spaces #eigenvalues-eigenvectors

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