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Finding $Ax=b$ iteratively using residuum vectors

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#linear-algebra #numerical-methods #numerical-linear-algebra #jacobian
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The dimension of the intersection of two vector subspaces

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#linear-algebra #vector-spaces
61
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A kind of wedge product for matrics

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#linear-algebra #geometry #representation-theory
57
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Can I form a non-trivial loop from these vectors?

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#linear-algebra #vector-spaces
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Eigenvectors exclusively from the standard basis

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#linear-algebra #matrices #eigenvalues-eigenvectors
231
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How to determine the characteristic polynomial of the $4\times4$ real matrix of ones?

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#linear-algebra #matrices #eigenvalues-eigenvectors #determinant #characteristic-polynomial
179
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Library linear algebra Problem!

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#linear-algebra
61
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If $\|I-A\| \ge1$ does it follow that $A$ is singular?

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#linear-algebra #normed-spaces
174
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$X^2 + X =A$ with $X, A\in \text{Mat}_{2,2} (\mathbb{R})$ . Show that there exists a solution $X$ for a given $A$

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#linear-algebra #analysis #implicit-function-theorem
87
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Proving equations with respect to skew-symmetric matrix property

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#linear-algebra #matrices #rotations
43
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On the existence of a 'strong' type of of invertible elements of $\mathcal{M}_n(\mathbb{K})$

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#linear-algebra
76
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How much to disturb a non-invertible element in $\mathcal{M}_n(\mathbb{R})$ to make it invertible?

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#linear-algebra
253
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Showing that $ \text{Ind}_H^G W \cong \text{Ind}_K^G(\text{Ind}_H^K W)$

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#linear-algebra #proof-verification #modules #representation-theory #vector-space-isomorphism
207
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Signs of eigenvalues of $3$ by $3$ matrix

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#linear-algebra #quadratic-forms
45
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Bases for column spaces

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#linear-algebra #matrices #vector-spaces #matrix-rank

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