Question

Construct a matrix $B$ with the property that the equation $Bx = 0$ has only the trivial solution

score 1.6k · Answer 1 · 2018-01-22 05:44:58

1.6k

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Construct a matrix $B$ with the property that the equation $Bx = 0$ has only the trivial solution

Published on 22 Jan 2018 - 5:44

score 501 · Answer 2 · 2026-03-26 07:39:07

501

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How to prove a vector norm which uses the definition of Symmetric Positive Definite matrix

Published on 26 Mar 2026 - 7:39

score 23 · Answer 3 · 2018-01-22 06:58:16

23

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Polynomials are linearly independent iff rows of $A$ are linearly independent where $P(x)=A[x^k]$

Published on 22 Jan 2018 - 6:58

score 5.9k · Answer 4 · 2026-03-17 18:14:31

5.9k

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Change of basis with rotation matrices

Published on 17 Mar 2026 - 18:14

score 62 · Answer 5 · 2018-01-22 08:13:37

62

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My brain doesn't click when there is a linear map over there

Published on 22 Jan 2018 - 8:13

score 68 · Answer 6 · 2026-03-22 07:27:13

68

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Which is/are true?

Published on 22 Mar 2026 - 7:27

score 105 · Answer 7 · 2026-03-25 12:21:57

105

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if $T$ is isomorphism, how can I prove that $[T^{-1}]_B=[T]_B^{-1}$ for any base $B$ of $V$?

Published on 25 Mar 2026 - 12:21

score 59 · Answer 8 · 2026-03-25 04:41:03

59

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How can I calculate the formula of $ \dim( N([T]_B))$?

Published on 25 Mar 2026 - 4:41

score 69 · Answer 9 · 2018-01-22 10:44:53

69

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. There exists a nondiagonal matrix $A\in \mathcal {M}_n (\mathbb{R}) $ s.t. $A^{k+1}=I_n $ and $I_n-A $ invertible?

Published on 22 Jan 2018 - 10:44

score 2.3k · Answer 10 · 2026-03-25 01:22:33

2.3k

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Mean squared error of a sample covariance matrix

Published on 25 Mar 2026 - 1:22

score 361 · Answer 11 · 2026-03-25 15:56:44

361

Views

Difference between polynomial and linear combination

Published on 25 Mar 2026 - 15:56

score 567 · Answer 12 · 2026-03-25 06:06:30

567

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Prove that the set of linear transformations is a subspace of $Hom(V,V)$

Published on 25 Mar 2026 - 6:06

score 32 · Answer 13 · 2018-01-22 16:14:37

32

Views

There is a nondiagonal matrix $A\in M_3(\mathbb{R})$ s.t. $ I_{3} +A+A^2=O_3$?

Published on 22 Jan 2018 - 16:14

score 496 · Answer 14 · 2026-03-22 01:06:44

496

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Reference book for Linear Algebra

Published on 22 Mar 2026 - 1:06

score 649 · Answer 15 · 2018-01-22 16:53:52

649

Views

When is a transformation not linear?

Published on 22 Jan 2018 - 16:53

List Question

Construct a matrix $B$ with the property that the equation $Bx = 0$ has only the trivial solution

How to prove a vector norm which uses the definition of Symmetric Positive Definite matrix

Polynomials are linearly independent iff rows of $A$ are linearly independent where $P(x)=A[x^k]$

Change of basis with rotation matrices

My brain doesn't click when there is a linear map over there

Which is/are true?

if $T$ is isomorphism, how can I prove that $[T^{-1}]_B=[T]_B^{-1}$ for any base $B$ of $V$?

How can I calculate the formula of $ \dim( N([T]_B))$?

. There exists a nondiagonal matrix $A\in \mathcal {M}_n (\mathbb{R}) $ s.t. $A^{k+1}=I_n $ and $I_n-A $ invertible?

Mean squared error of a sample covariance matrix

Difference between polynomial and linear combination

Prove that the set of linear transformations is a subspace of $Hom(V,V)$

There is a nondiagonal matrix $A\in M_3(\mathbb{R})$ s.t. $ I_{3} +A+A^2=O_3$?

Reference book for Linear Algebra

When is a transformation not linear?

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