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Is the low-rank approximation of a matrix unique?

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#linear-algebra #matrices #optimization #matrix-rank #svd
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Smallest singular value of full column rank matrix

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#matrices #matrix-rank #singular-values
93
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Column operations and rank

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#linear-algebra #matrices #matrix-rank
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How to prove the observability condition for the following state sytem?

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#control-theory #matrix-rank #linear-control
85
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Projection of a Matrix onto another one's column space

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#linear-algebra #approximation #matrix-rank
83
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A question about a vector operation

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#linear-algebra #matrices #matrix-rank
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Rank of a matrix from its order of nilpotency

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#linear-algebra #matrices #matrix-rank #nilpotence
276
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Rank of a rectangle partitioned matrix with sub-matrices are diagonal matrices

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#linear-algebra #matrices #matrix-rank
309
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Find a matrix A such that $\operatorname{rank}{A} = \operatorname{rank}{A^2} \neq \operatorname{rank}{A^3}$

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#matrices #matrix-rank
711
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Kernel, nullity, range and rank of a underdetermined matrix

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#matrices #matrix-rank
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Finding matrix relative to a polynomial basis and basis in R2?

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#linear-algebra #matrices #polynomials #linear-transformations #matrix-rank
60
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Rank of a matrix plus a number

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#matrix-rank
321
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How many patterns of decreasing matrix rank exist?

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#linear-algebra #combinatorics #matrices #number-theory #matrix-rank
82
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Determinant defined as Product of Columns

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#linear-algebra #determinant #matrix-rank #hadamard-product
661
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Singular Matrix and Identity Matrix

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#linear-algebra #eigenvalues-eigenvectors #normed-spaces #matrix-rank

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