Question

If $A$ is an $n\times{n}$ matrix such that $A^3-A^2-3A+2I=0$, how many possible values for $\det(A)$ exists?

score 84 · Answer 1 · 2026-04-14 20:55:34

84

Views

If $A$ is an $n\times{n}$ matrix such that $A^3-A^2-3A+2I=0$, how many possible values for $\det(A)$ exists?

Published on 14 Apr 2026 - 20:55

score 69 · Answer 2 · 2026-04-11 10:30:42

69

Views

What kind of optimization/regularization is this?

Published on 11 Apr 2026 - 10:30

score 24 · Answer 3 · 2026-04-16 14:04:50

24

Views

If $M$ is a $n\times{n}$ singular matrix with $n>1$, is there always $N≠0$ such thaf $MN=0$?

Published on 16 Apr 2026 - 14:04

score 5.6k · Answer 4 · 2026-04-15 19:04:39

5.6k

Views

Centre of the special linear group $SL_2(\mathbb R)$ or $SL(2,\mathbb R)$

Published on 15 Apr 2026 - 19:04

score 500 · Answer 5 · 2026-04-14 01:35:03

500

Views

Pseudo-inverse Alternative Forms

Published on 14 Apr 2026 - 1:35

score 492 · Answer 6 · 2026-04-16 14:22:51

492

Views

Find a formula for $\left(\begin{smallmatrix} -4 & -15 \\ 2 & 7 \end{smallmatrix}\right)^n$

Published on 16 Apr 2026 - 14:22

score 255 · Answer 7 · 2026-04-10 20:33:01

255

Views

Let $\lambda\in \sigma(A).$ Then, $e^{\lambda t}\in \sigma(e^{tA})$ where $\sigma(A)$ is set of all eigenvalues of matrix $A$

Published on 10 Apr 2026 - 20:33

score 80 · Answer 8 · 2026-04-14 21:00:03

80

Views

Find a differential equations using linear algebra

Published on 14 Apr 2026 - 21:00

score 134 · Answer 9 · 2026-04-12 20:56:09

134

Views

If $\Vert e^{tA}\Vert\to 0$ as $t\to \infty$, then $\sigma(A)\subset \{\lambda\in \Bbb{C}:\,\Bbb{Re}(\lambda)<0\}$

Published on 12 Apr 2026 - 20:56

score 148 · Answer 10 · 2026-04-15 11:11:18

148

Views

Show that $f(x)=x^r+r^x$ is increasing

Published on 15 Apr 2026 - 11:11

score 584 · Answer 11 · 2026-04-15 20:26:53

584

Views

Prove that the set of matrices is a group in relation with matrix multiplication

Published on 15 Apr 2026 - 20:26

score 174 · Answer 12 · 2026-04-15 18:49:50

174

Views

Find all skew-symmetric matrices given their anti-commutator with a symmetric matrix

Published on 15 Apr 2026 - 18:49

score 1.4k · Answer 13 · 2026-04-12 12:41:45

1.4k

Views

Axis and angle of rotation from 3x3 rotation matrix and properties of rotation matrix

Published on 12 Apr 2026 - 12:41

score 503 · Answer 14 · 2026-04-14 15:03:22

503

Views

Matrix valued Pythagorean Triples

Published on 14 Apr 2026 - 15:03

score 48 · Answer 15 · 2026-04-16 07:02:30

48

Views

If $M \in [0,1)^{n \times n}$ has zero diagonal, is $I - M$ invertible?

Published on 16 Apr 2026 - 7:02

List Question

If $A$ is an $n\times{n}$ matrix such that $A^3-A^2-3A+2I=0$, how many possible values for $\det(A)$ exists?

What kind of optimization/regularization is this?

If $M$ is a $n\times{n}$ singular matrix with $n>1$, is there always $N≠0$ such thaf $MN=0$?

Centre of the special linear group $SL_2(\mathbb R)$ or $SL(2,\mathbb R)$

Pseudo-inverse Alternative Forms

Find a formula for $\left(\begin{smallmatrix} -4 & -15 \\ 2 & 7 \end{smallmatrix}\right)^n$

Let $\lambda\in \sigma(A).$ Then, $e^{\lambda t}\in \sigma(e^{tA})$ where $\sigma(A)$ is set of all eigenvalues of matrix $A$

Find a differential equations using linear algebra

If $\Vert e^{tA}\Vert\to 0$ as $t\to \infty$, then $\sigma(A)\subset \{\lambda\in \Bbb{C}:\,\Bbb{Re}(\lambda)<0\}$

Show that $f(x)=x^r+r^x$ is increasing

Prove that the set of matrices is a group in relation with matrix multiplication

Find all skew-symmetric matrices given their anti-commutator with a symmetric matrix

Axis and angle of rotation from 3x3 rotation matrix and properties of rotation matrix

Matrix valued Pythagorean Triples

If $M \in [0,1)^{n \times n}$ has zero diagonal, is $I - M$ invertible?

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