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15
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Finding the basis of intersection of two subspaces generated by given set of vectors

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#linear-algebra #matrix-rank
46
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Spot redundant equations within nonlinear system of equations.

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#matrix-rank #nonlinear-system #least-squares
39
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rank decomposition with easy-to-understand condition

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#linear-algebra #vector-spaces #matrix-rank
66
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Block matrices rank inequality

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#linear-algebra #matrices #matrix-rank #block-matrices
21
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Invertibility of the symmteric matrix observed under least squaress solution

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#linear-algebra #eigenvalues-eigenvectors #matrix-decomposition #matrix-rank #symmetric-matrices
169
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Prove rank (A + B + AB) ≤ rank (A) + rank (B)

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#linear-algebra #matrices #vector-spaces #matrix-rank
95
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Decomposition of a matrix in $\mathbb{M}_n(\mathbb{C})$ into the sum of two rank-1 diagonalizable matrices.

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#matrices #solution-verification #matrix-decomposition #matrix-rank
76
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Prove: For full rank matrix $A\in\mathbb{C}^{m\times n}$ with $m>n$ and diagonal matrix $B\in\mathbb{C}^{n\times n}$ we have $rank(ABA^H)=n$

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#linear-algebra #matrix-rank #hermitian-matrices #linear-independence
51
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Question on Candès-Tao's near-optimal matrix completion theorem

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#linear-algebra #matrix-rank #information-theory #semidefinite-programming #matrix-completion
15
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Generalized method of moments: necessary condition for identification

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#statistics #systems-of-equations #statistical-inference #matrix-rank #nonlinear-system
64
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A,B matrices and column space

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#matrices #matrix-equations #matrix-rank #symmetric-matrices
78
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suppose $A$ is an $m\times n$ real matrix and $A^\top A$ is $3\times3$ nonsingular matrix, then $n =$?

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#linear-algebra #matrices #matrix-rank #symmetric-matrices #transpose
201
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when A matrix has one solution IF M>N

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#linear-algebra #matrices #matrix-equations #matrix-rank #symmetric-matrices
113
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On the rank of product of matrices of order 10

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#linear-algebra #matrices #matrix-rank
99
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Conceptual proof that dim(column space)=dim(row space)

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#linear-algebra #solution-verification #vector-spaces #matrix-rank

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