Question

Eigenvalue of normal matrices

score 239 · Answer 1 · 2026-04-12 10:30:16

239

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Eigenvalue of normal matrices

Published on 12 Apr 2026 - 10:30

score 530 · Answer 2 · 2026-04-13 15:16:35

530

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Conditions for a matrix to have non-repeated eigenvalues

Published on 13 Apr 2026 - 15:16

score 303 · Answer 3 · 2026-04-13 10:01:25

303

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Represent the following system of equation in the Y = AX + B form:

Published on 13 Apr 2026 - 10:01

score 358 · Answer 4 · 2026-04-16 13:14:45

358

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Prove that if $A$ is positive, then $\exists\;\alpha>0$ such that $\langle Ax, x \rangle\geq \alpha|x|^2$ for $x\in\Bbb{R}^n$

Published on 16 Apr 2026 - 13:14

score 82 · Answer 5 · 2026-04-13 00:40:45

82

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Is $tr(TA)=tr(TB)$ for any Hermitian operator $T$ equivalent to $A=B$? ($A,B$ are operators)

Published on 13 Apr 2026 - 0:40

score 1.7k · Answer 6 · 2026-04-12 02:34:35

1.7k

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Understanding Row Space's Geometrical Interpretation

Published on 12 Apr 2026 - 2:34

score 74 · Answer 7 · 2026-04-16 05:21:22

74

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If $A \in \mathbb C^{n \times n}$, $A^2 \neq 0$ and $A^3=0$, check if $A$ is diagonalizable

Published on 16 Apr 2026 - 5:21

score 376 · Answer 8 · 2026-04-11 23:17:55

376

Views

Reflection matrix - are these two definitions equivalent?

Published on 11 Apr 2026 - 23:17

score 178 · Answer 9 · 2026-04-15 14:24:45

178

Views

Discrete algebraic Riccati equation: If Q and R are positive definite is P positive definite?

Published on 15 Apr 2026 - 14:24

score 131 · Answer 10 · 2026-04-12 19:37:16

131

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What is the reasoning behind the solution of the determinant of this matrix? What rules were used here?

Published on 12 Apr 2026 - 19:37

score 253 · Answer 11 · 2026-04-12 02:31:32

253

Views

How to find the analytical representation of eigenvalues of the matrix $G$?

Published on 12 Apr 2026 - 2:31

score 118 · Answer 12 · 2026-04-16 05:45:04

118

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Vector conjugate of a linear mapping

Published on 16 Apr 2026 - 5:45

score 183 · Answer 13 · 2026-04-12 00:42:00

183

Views

Equivalent representations for transformation Matrices

Published on 12 Apr 2026 - 0:42

score 38 · Answer 14 · 2026-04-11 19:10:06

38

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If $T\in M_{n\times n}(\mathbb R)$ invertible, why is $T^tT$ positive definite?

Published on 11 Apr 2026 - 19:10

score 34 · Answer 15 · 2026-04-14 14:28:41

34

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If $X$ is an $n$ by $n$ matrix with only $0$ as eigenvalue, why does $X^k≠0$ implies $k<n$?

Published on 14 Apr 2026 - 14:28

List Question

Eigenvalue of normal matrices

Conditions for a matrix to have non-repeated eigenvalues

Represent the following system of equation in the Y = AX + B form:

Prove that if $A$ is positive, then $\exists\;\alpha>0$ such that $\langle Ax, x \rangle\geq \alpha|x|^2$ for $x\in\Bbb{R}^n$

Is $tr(TA)=tr(TB)$ for any Hermitian operator $T$ equivalent to $A=B$? ($A,B$ are operators)

Understanding Row Space's Geometrical Interpretation

If $A \in \mathbb C^{n \times n}$, $A^2 \neq 0$ and $A^3=0$, check if $A$ is diagonalizable

Reflection matrix - are these two definitions equivalent?

Discrete algebraic Riccati equation: If Q and R are positive definite is P positive definite?

What is the reasoning behind the solution of the determinant of this matrix? What rules were used here?

How to find the analytical representation of eigenvalues of the matrix $G$?

Vector conjugate of a linear mapping

Equivalent representations for transformation Matrices

If $T\in M_{n\times n}(\mathbb R)$ invertible, why is $T^tT$ positive definite?

If $X$ is an $n$ by $n$ matrix with only $0$ as eigenvalue, why does $X^k≠0$ implies $k<n$?

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