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What is the rank of matrix $pq^T +qp^T$?

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#linear-algebra #matrices #matrix-rank
197
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Does the space of matrices above rank $k$ admit a transitive Lie group action?

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#linear-algebra #lie-groups #group-actions #matrix-rank #homogeneous-spaces
36
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Sensitivity of a matrix rank to objective function in semidefinite optimization

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#convex-optimization #matrix-rank #semidefinite-programming
135
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Subspace of singular multivariate normal distribution

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#matrices #vector-spaces #normal-distribution #matrix-rank
161
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expected rank of a binary matrix with distribution

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#matrix-rank
931
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rank of a rectangular Vandermonde matrix

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#linear-algebra #matrices #matrix-rank #geometric-progressions
775
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Rank of a Vandermonde matrix

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#linear-algebra #matrices #matrix-rank
92
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Show that $B$ $\in$ $GL_{n-1}($K$)$ $\Rightarrow$ $A$ $\in$ $GL_n$($K$)

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#linear-algebra #matrices #matrix-rank
61
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Rank of a linear system

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#linear-algebra #matrix-rank
341
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Does $V/(\ker f \cap \ker g) \cong \text{im} f +\text{im} g$?

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#linear-algebra #matrix-rank #exact-sequence
320
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Complex matrix after taking square root in EM algorithm

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#matrices #convergence-divergence #optimization #matrix-rank #symmetric-matrices
2.2k
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How rank-revealing QR factorization determine the rank of the matrix?

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#linear-algebra #matrices #matrix-decomposition #matrix-rank
1.5k
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If all the $k$-minors of a matrix are non-zero then its rank is greater than $k$?

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#linear-algebra #matrices #determinant #matrix-rank
42
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Proving rank of linear operator equals the rank of the B matrix of linear operator

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#linear-algebra #matrix-rank
794
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Is $\mathrm {rank}\ (AA^*A)= \mathrm {rank}\ (A)$?

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#linear-algebra #matrices #matrix-rank #transpose

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