Question

Show that if $TS=ST$ then $\operatorname{range}{S}$ and $\ker{S}$ are invariant under $T$. Is the converse true?

score 765 · Answer 1 · 2018-01-26 10:27:27

Show that if $TS=ST$ then $\operatorname{range}{S}$ and $\ker{S}$ are invariant under $T$. Is the converse true?

score 51 · Answer 2 · 2018-01-26 11:40:51

Does the set of $n\times n$ invertible matrices with real coeffs where the sum of each row and column sums to one forms a group under multiplication?

score 83 · Answer 3 · 2026-03-24 23:46:24

83

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score 223 · Answer 4 · 2026-03-25 08:22:45

223

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score 435 · Answer 5 · 2026-03-25 04:39:08

435

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An upper-bound for $\text{trace}(A^2)$ in terms of $\text{trace}(A)$

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score 414 · Answer 6 · 2018-01-26 15:43:33

Linear transformation matrix wrto 2 basis $\beta = \{ (1,1,0), (1,0,1),(0,1,1)\}$ and $\beta' = \{ (2,1,1), (1,2,1),(-1,1,1)\}$

score 101 · Answer 7 · 2026-03-26 00:10:50

101

Views

$V$ and $\mathcal{L}(\mathbf{F},V)$ are isomorphic

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score 30 · Answer 8 · 2026-03-24 19:00:57

30

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score 107 · Answer 10 · 2026-03-25 07:40:46

107

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score 59 · Answer 11 · 2018-01-26 17:14:50

59

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score 80 · Answer 12 · 2026-03-25 01:20:28

80

Views

Does anyone know how to calculate the inverse matrix of $I+\mu\mu^{\top}$?

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score 647 · Answer 13 · 2026-03-21 20:18:15

647

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score 255 · Answer 14 · 2026-03-24 13:57:47

255

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score 55 · Answer 15 · 2018-01-26 19:18:05

55

Views

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List Question

Show that if $TS=ST$ then $\operatorname{range}{S}$ and $\ker{S}$ are invariant under $T$. Is the converse true?

Does the set of $n\times n$ invertible matrices with real coeffs where the sum of each row and column sums to one forms a group under multiplication?

Confusion about the definition of positive definiteness

How to find the projection matrix to find the projection along one of the basis matrices?

An upper-bound for $\text{trace}(A^2)$ in terms of $\text{trace}(A)$

Linear transformation matrix wrto 2 basis $\beta = \{ (1,1,0), (1,0,1),(0,1,1)\}$ and $\beta' = \{ (2,1,1), (1,2,1),(-1,1,1)\}$

$V$ and $\mathcal{L}(\mathbf{F},V)$ are isomorphic

solution to an Lagrangian Inverse Problem

Polynomial form of two variable matrix determinant function

Null space of a matrix A..

Using Zorn's Lemma in a proof

Does anyone know how to calculate the inverse matrix of $I+\mu\mu^{\top}$?

Silly Question about tensor products and universal property

Proof of an error estimation/inequality for a linear $Ax=b$.

Linear Algebra Proof (Basis out of an Infinite set).

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