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Milnor's octahedron

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#linear-algebra #reference-request #riemannian-geometry #math-history #tensors
437
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Prove that matrix inversion is continuous w.r.t $\sup$-norm

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#real-analysis #linear-algebra #functional-analysis #proof-verification #proof-writing
596
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Idempotent matrix, with rows forming a basis

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#linear-algebra #matrices
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universal property of the $n$-fold tensor product

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#linear-algebra #abstract-algebra #multilinear-algebra
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What does "Consider R as an vector space over Q" mean?

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#linear-algebra #vector-spaces
454
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Upper bound on smallest singular value with subset condition

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#linear-algebra #matrices #perturbation-theory
23
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For which $a,b$ it is true that $\mathbb{R}^3=V_a\oplus V_b$?

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#linear-algebra #vector-spaces
50
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Show that the transform of a solution is equivalent to the transform of the original matrix

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#linear-algebra #matrices #linear-transformations #matrix-equations
339
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Set of matrices to the power n^2 are linearly dependent

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#linear-algebra #matrices
58
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Dimension of rows space and columns space of a matrix

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#linear-algebra #matrices
215
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Prove that the linear transformation cannot be onto

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#linear-algebra #proof-verification #linear-transformations
108
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Projection of the vector $\vec{b}=\left(\begin{smallmatrix}3\\-1\\4\end{smallmatrix}\right)$ in some given direction

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#linear-algebra #vectors
65
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A problem regarding eigenvalues symmetric about origin

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#linear-algebra #eigenvalues-eigenvectors
530
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Hermitian form on a complex vector space: troubles!

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#linear-algebra #abstract-algebra #bilinear-form
142
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Equivalence of quadratic forms and general advice about "Number Theory" (by Borevich-Shafarevich)

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#linear-algebra #number-theory #advice

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