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Strange algebra question: is this matrix invertible?

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#linear-algebra #matrices #determinant #matrix-rank
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rank of unitary matrices

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#matrices #matrix-rank #unitary-matrices
73
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Feasibility problem for set of linear equations

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#linear-algebra #matrices #systems-of-equations #matrix-equations #matrix-rank
88
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Finding the Rank of power of a matrix

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#linear-algebra #matrix-rank
89
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Is the product of two full column rank matrices full rank?

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#linear-algebra #matrix-rank
107
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Find two matrices A and B containing at max three zeros each such that rank(A)=rank(B)=rank(AB)=rank(BA)+1=2

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#linear-algebra #vector-spaces #matrix-equations #matrix-rank
94
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Intersection of a set of matrices nonzero over a finite field

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#linear-algebra #probability #finite-fields #matrix-rank
85
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Lifting operator on rank-one $uv^T$ matrix

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#matrices #matrix-rank
70
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Rank of eigenvector projections

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#linear-algebra #eigenvalues-eigenvectors #matrix-decomposition #matrix-rank #projection-matrices
35
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How can I find some $r\in\mathbb{R}$ such that the following matrix has a full rank?

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#linear-algebra #determinant #matrix-rank #inverse-problems
1.5k
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Echelon form of a Matrix, Rank, and Number of solution

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#linear-algebra #matrices #systems-of-equations #matrix-equations #matrix-rank
57
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rank(A) $≤ 2 \iff A = U.V^T$

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#linear-algebra #matrices #matrix-rank
33
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Finding a "linearity"/correlation coefficient for mutli-dimensional points

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#linear-algebra #matrix-rank
20
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Find an equivalent condition to $\operatorname{tr}(A^{\ast}B)=0$ for two complex hermitian matrices $A, B$ with rank of $B$ 1.

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#complex-numbers #matrix-rank #trace #positive-semidefinite #hermitian-matrices
72
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Does changing the size of a matrix, but not the number of elements, preserve rank?

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#linear-algebra #matrices #matrix-rank

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