Question

Determine a basis of $S=\{ (z_1,z_2,z_3) \in \mathbb C^{3} \mid z_1 +z_2 = 0 \}$ over $\mathbb R$ vector space

score 188 · Answer 1 · 2026-04-19 13:21:14

188

Views

Determine a basis of $S=\{ (z_1,z_2,z_3) \in \mathbb C^{3} \mid z_1 +z_2 = 0 \}$ over $\mathbb R$ vector space

Published on 19 Apr 2026 - 13:21

score 53 · Answer 2 · 2026-04-13 07:10:23

53

Views

Prove that if $\vec{x} \in \operatorname{Null}(A^TA)$ then $\vec{x} \in \operatorname{Null}(A).$

Published on 13 Apr 2026 - 7:10

score 1k · Answer 3 · 2026-05-10 15:55:01

1k

Views

Complexity of matrix multiplication and Gaussian elimination

Published on 10 May 2026 - 15:55

score 66 · Answer 4 · 2026-04-09 22:28:12

66

Views

Must vectors span the space?

Published on 09 Apr 2026 - 22:28

score 295 · Answer 5 · 2026-04-24 03:48:49

295

Views

Linear combination of matrix functions is invertible

Published on 24 Apr 2026 - 3:48

score 49 · Answer 6 · 2026-04-09 16:44:33

49

Views

How to show that $v\not \in \text {Image}(A-\lambda_{\min }I)$?

Published on 09 Apr 2026 - 16:44

score 2.7k · Answer 7 · 2026-05-10 18:19:58

2.7k

Views

About totally isotropic subspace

Published on 10 May 2026 - 18:19

score 793 · Answer 8 · 2026-05-13 14:53:39

793

Views

Linearization of differential system of equation

Published on 13 May 2026 - 14:53

score 128 · Answer 9 · 2026-05-11 08:33:40

128

Views

Show that Jordan Block $\iff V$ isomorphic to $K[X]/(X-\lambda)^{n}$ as a $K[X]$-Module

Published on 11 May 2026 - 8:33

score 3.3k · Answer 10 · 2026-03-27 01:44:14

3.3k

Views

Jacobi Method and Gauss-Seidel Multiple Choice Convergence Answer Verification

Published on 27 Mar 2026 - 1:44

score 487 · Answer 11 · 2026-04-14 10:09:03

487

Views

Concerning the demonstration of $W_e^{\perp} = W_o$ over $V = C[-1,1]$.

Published on 14 Apr 2026 - 10:09

score 95 · Answer 12 · 2026-04-15 21:17:10

95

Views

For a nilpotent mapping $N$, why is it true that there exists a non-zero vector $x$ that $N^k(x)$ is zero but $N^{k-1}(x)$ isn't?

Published on 15 Apr 2026 - 21:17

score 17.1k · Answer 13 · 2026-05-10 18:22:36

17.1k

Views

Why is the condition number of a matrix given by these eigenvalues?

Published on 10 May 2026 - 18:22

score 127 · Answer 14 · 2026-04-24 05:16:00

127

Views

When can matrices be extended to a non-singular matrix?

Published on 24 Apr 2026 - 5:16

score 123 · Answer 15 · 2026-05-11 02:12:20

123

Views

Is there a standard name for doing $B^T A B$ when $B$ is not necessarily square?

Published on 11 May 2026 - 2:12

List Question

Determine a basis of $S=\{ (z_1,z_2,z_3) \in \mathbb C^{3} \mid z_1 +z_2 = 0 \}$ over $\mathbb R$ vector space

Prove that if $\vec{x} \in \operatorname{Null}(A^TA)$ then $\vec{x} \in \operatorname{Null}(A).$

Complexity of matrix multiplication and Gaussian elimination

Must vectors span the space?

Linear combination of matrix functions is invertible

How to show that $v\not \in \text {Image}(A-\lambda_{\min }I)$?

About totally isotropic subspace

Linearization of differential system of equation

Show that Jordan Block $\iff V$ isomorphic to $K[X]/(X-\lambda)^{n}$ as a $K[X]$-Module

Jacobi Method and Gauss-Seidel Multiple Choice Convergence Answer Verification

Concerning the demonstration of $W_e^{\perp} = W_o$ over $V = C[-1,1]$.

For a nilpotent mapping $N$, why is it true that there exists a non-zero vector $x$ that $N^k(x)$ is zero but $N^{k-1}(x)$ isn't?

Why is the condition number of a matrix given by these eigenvalues?

When can matrices be extended to a non-singular matrix?

Is there a standard name for doing $B^T A B$ when $B$ is not necessarily square?

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