Question

Suppose $A,B\in\mathbb{R}$ and $M=A+iB$ for $M\in\mathbb{C}.$ What condition must $A$ and $B$ be to satisfy $M$ is unitary.

score 35 · Answer 1 · 2026-04-16 07:02:30

Suppose $A,B\in\mathbb{R}$ and $M=A+iB$ for $M\in\mathbb{C}.$ What condition must $A$ and $B$ be to satisfy $M$ is unitary.

score 264 · Answer 2 · 2026-04-16 05:21:40

264

Views

If $A$ is normal, then so is any polynomial of it.

Published on 16 Apr 2026 - 5:21

score 58 · Answer 3 · 2026-04-17 08:59:44

58

Views

Smith Normal Form when characteristic poly=minimal poly.

Published on 17 Apr 2026 - 8:59

score 50 · Answer 4 · 2026-04-12 05:57:41

50

Views

How do I show that this vector is a linear combination of column vectors of matrix?

Published on 12 Apr 2026 - 5:57

score 93 · Answer 5 · 2026-04-12 22:19:28

93

Views

Example of a matrix $A$ which has all eigenvalues positive, but is not a general positive definite matrix.

Published on 12 Apr 2026 - 22:19

score 47 · Answer 6 · 2026-04-17 07:51:52

47

Views

Find a matrix $N$ s.t. $N^2=H$

Published on 17 Apr 2026 - 7:51

score 57 · Answer 7 · 2026-04-16 07:50:31

57

Views

L2 Regression and homogeneous of degree 1

Published on 16 Apr 2026 - 7:50

score 207 · Answer 8 · 2026-04-15 17:39:48

207

Views

Meaning of isomorphism of vector spaces depending on basis

Published on 15 Apr 2026 - 17:39

score 173 · Answer 9 · 2026-04-14 04:57:38

173

Views

what is the shortest path to solve a matrix with unknown elements and an eigenvector?

Published on 14 Apr 2026 - 4:57

score 779 · Answer 10 · 2026-04-15 21:30:16

779

Views

Why is the determinant of a square matrix equal to the determinant of the diagonal of an SVD?

Published on 15 Apr 2026 - 21:30

score 258 · Answer 11 · 2026-04-14 08:21:51

258

Views

Which operations does a subset of a vector space have?

Published on 14 Apr 2026 - 8:21

score 1.2k · Answer 12 · 2026-04-15 12:49:01

1.2k

Views

How many Jordan form for given characteristic and minimal polynomials?

Published on 15 Apr 2026 - 12:49

score 149 · Answer 13 · 2026-04-13 11:06:50

149

Views

Given linear mapping and bases, determine the transformation matrix and the change of basis

Published on 13 Apr 2026 - 11:06

score 75 · Answer 14 · 2026-04-17 00:30:16

75

Views

Prove or disprove if $x_k$ is unbounded and $|P|\geq 0$, then either $\lim_{k\to\infty}x_k^{\rm T}Px_k=0$ or $x_k^{\rm T}Px_k$ is unbounded

Published on 17 Apr 2026 - 0:30

score 89 · Answer 15 · 2026-04-15 10:00:43

89

Views

Show that $(1,0,1), (-2,1,4), (0,3,1)$ forms the basis for $\in \mathbb {R^3}$.

Published on 15 Apr 2026 - 10:00

List Question

Suppose $A,B\in\mathbb{R}$ and $M=A+iB$ for $M\in\mathbb{C}.$ What condition must $A$ and $B$ be to satisfy $M$ is unitary.

If $A$ is normal, then so is any polynomial of it.

Smith Normal Form when characteristic poly=minimal poly.

How do I show that this vector is a linear combination of column vectors of matrix?

Example of a matrix $A$ which has all eigenvalues positive, but is not a general positive definite matrix.

Find a matrix $N$ s.t. $N^2=H$

L2 Regression and homogeneous of degree 1

Meaning of isomorphism of vector spaces depending on basis

what is the shortest path to solve a matrix with unknown elements and an eigenvector?

Why is the determinant of a square matrix equal to the determinant of the diagonal of an SVD?

Which operations does a subset of a vector space have?

How many Jordan form for given characteristic and minimal polynomials?

Given linear mapping and bases, determine the transformation matrix and the change of basis

Prove or disprove if $x_k$ is unbounded and $|P|\geq 0$, then either $\lim_{k\to\infty}x_k^{\rm T}Px_k=0$ or $x_k^{\rm T}Px_k$ is unbounded

Show that $(1,0,1), (-2,1,4), (0,3,1)$ forms the basis for $\in \mathbb {R^3}$.

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