Question

$\det(M+U)=m·s $ where row sum of $M$ is zero and $U$ is rank $1$

score 55 · Answer 1 · 2018-04-02 02:15:23

55

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$\det(M+U)=m·s $ where row sum of $M$ is zero and $U$ is rank $1$

Published on 02 Apr 2018 - 2:15

score 1.4k · Answer 2 · 2018-04-02 03:23:13

1.4k

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Is Sum of Principal Minors Equals to Pseudo Determinant?

Published on 02 Apr 2018 - 3:23

score 47 · Answer 3 · 2018-04-02 16:03:36

47

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Prove: $\det(\alpha v_1,v_2,\dots v_n)=\alpha\cdot \det(v_1,v_2,\dots v_n)$

Published on 02 Apr 2018 - 16:03

score 43 · Answer 4 · 2018-04-03 02:45:58

43

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What is $\det(2\mathrm{adj}(\mathrm{adj}(A)))$?

Published on 03 Apr 2018 - 2:45

score 1.2k · Answer 5 · 2026-03-25 16:08:22

1.2k

Views

Prove that if $M$ is orthogonal, then $\det(M)= \pm 1$

Published on 25 Mar 2026 - 16:08

score 10.2k · Answer 6 · 2018-04-03 15:24:59

10.2k

Views

Determinant of a matrix and linear independence (explanation needed)

Published on 03 Apr 2018 - 15:24

score 466 · Answer 7 · 2018-04-03 19:29:32

466

Views

Determinants and Adjugates

Published on 03 Apr 2018 - 19:29

score 263 · Answer 8 · 2018-04-04 06:55:57

263

Views

Algebra find determinant based on other matrix

Published on 04 Apr 2018 - 6:55

score 77 · Answer 9 · 2026-03-25 09:31:51

77

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Calculate $\det(p(A))$

Published on 25 Mar 2026 - 9:31

score 172 · Answer 10 · 2018-04-05 01:17:19

172

Views

Prove the following determinant identities.

Published on 05 Apr 2018 - 1:17

score 241 · Answer 11 · 2018-04-05 10:42:13

241

Views

Condition on abc so that value of determinant is positive

Published on 05 Apr 2018 - 10:42

score 4.3k · Answer 12 · 2018-04-05 18:50:18

4.3k

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Proof: |detA| = 1 if A is unitary (that is, if $AA^* = I_n).$ Does it make sense?

Published on 05 Apr 2018 - 18:50

score 617 · Answer 13 · 2018-04-05 20:33:39

617

Views

Prove that the column vectors of a $n \times n$ matrix are a basis for $\mathbb{F}^n$ if and only if $\det X \neq 0.$

Published on 05 Apr 2018 - 20:33

score 4k · Answer 14 · 2018-04-06 08:24:01

4k

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Prove $\lambda^2-tr(A)\lambda+\det(A)=0$ is an alternate characteristic equation.

Published on 06 Apr 2018 - 8:24

score 45 · Answer 15 · 2026-03-25 07:47:57

45

Views

how can I get the diagonal matrix from the eigenvectors, of this matrix?

Published on 25 Mar 2026 - 7:47

List Question

$\det(M+U)=m·s $ where row sum of $M$ is zero and $U$ is rank $1$

Is Sum of Principal Minors Equals to Pseudo Determinant?

Prove: $\det(\alpha v_1,v_2,\dots v_n)=\alpha\cdot \det(v_1,v_2,\dots v_n)$

What is $\det(2\mathrm{adj}(\mathrm{adj}(A)))$?

Prove that if $M$ is orthogonal, then $\det(M)= \pm 1$

Determinant of a matrix and linear independence (explanation needed)

Determinants and Adjugates

Algebra find determinant based on other matrix

Calculate $\det(p(A))$

Prove the following determinant identities.

Condition on abc so that value of determinant is positive

Proof: |detA| = 1 if A is unitary (that is, if $AA^* = I_n).$ Does it make sense?

Prove that the column vectors of a $n \times n$ matrix are a basis for $\mathbb{F}^n$ if and only if $\det X \neq 0.$

Prove $\lambda^2-tr(A)\lambda+\det(A)=0$ is an alternate characteristic equation.

how can I get the diagonal matrix from the eigenvectors, of this matrix?

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