Question

Determinant of matrix whose $(i,j)$ entry is $\min(i,j)$

score 566 · Answer 1 · 2018-02-28 00:45:28

566

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Determinant of matrix whose $(i,j)$ entry is $\min(i,j)$

Published on 28 Feb 2018 - 0:45

score 1.1k · Answer 2 · 2018-02-28 08:39:22

1.1k

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If $A+B+C=0$, then prove that the value of the determinant is $0$.

Published on 28 Feb 2018 - 8:39

score 140 · Answer 3 · 2018-02-28 10:43:35

140

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Determinant of Union Jack matrix without Scottish diagonal

Published on 28 Feb 2018 - 10:43

score 152 · Answer 4 · 2026-03-25 01:18:55

152

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Prove $\Delta=\left|\begin{smallmatrix} 3x&-x+y&-x+z\\ -y+x&3y&-y+z\\-z+x&-z+y&3z\end{smallmatrix}\right|=3(x+y+z)(xy+yz+zx)$

Published on 25 Mar 2026 - 1:18

score 56 · Answer 5 · 2018-02-28 13:37:27

56

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solving this exercise using determinants and not gauss' method?

Published on 28 Feb 2018 - 13:37

score 286 · Answer 6 · 2018-03-01 05:38:25

286

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How to intuitively calculate the determinant of an arbitrary matrix

Published on 01 Mar 2018 - 5:38

score 1.4k · Answer 7 · 2018-03-01 14:51:10

1.4k

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If $\cos2\theta=0$, then $\Delta^2=$?

Published on 01 Mar 2018 - 14:51

score 69 · Answer 8 · 2018-03-02 00:42:31

69

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What is the significance of this property of the determinant?

Published on 02 Mar 2018 - 0:42

score 45 · Answer 9 · 2026-03-25 10:21:49

45

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Prove $\left|\begin{smallmatrix} \sin^2x&\cot x&1\\ \sin^2y&\cot y&1\\ \sin^2z&\cot z&1 \end{smallmatrix}\right|=0$ if $x+y+z=\pi$

Published on 25 Mar 2026 - 10:21

score 228 · Answer 10 · 2026-03-25 01:29:08

228

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Extending the Proof for $\det(AB) = \det(A) \cdot \det(B)$ from the $3 \times 3$ to the $n \times n$ case

Published on 25 Mar 2026 - 1:29

score 205 · Answer 11 · 2018-03-03 01:01:49

205

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Can $A^3=0$ imply $|I+A|=0$?

Published on 03 Mar 2018 - 1:01

score 4.3k · Answer 12 · 2018-03-03 01:25:22

4.3k

Views

Proof that $\det(AB) = \det(A) \det(B)$

Published on 03 Mar 2018 - 1:25

score 67 · Answer 13 · 2018-03-03 05:56:31

67

Views

Help with matrices problem

Published on 03 Mar 2018 - 5:56

score 108 · Answer 14 · 2026-03-25 04:38:47

108

Views

Easier way to identify a 3 variable determinant as symmetric polynomial

Published on 25 Mar 2026 - 4:38

score 53 · Answer 15 · 2018-03-03 17:51:24

53

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Eigenvalues for an expression

Published on 03 Mar 2018 - 17:51

List Question

Determinant of matrix whose $(i,j)$ entry is $\min(i,j)$

If $A+B+C=0$, then prove that the value of the determinant is $0$.

Determinant of Union Jack matrix without Scottish diagonal

Prove $\Delta=\left|\begin{smallmatrix} 3x&-x+y&-x+z\\ -y+x&3y&-y+z\\-z+x&-z+y&3z\end{smallmatrix}\right|=3(x+y+z)(xy+yz+zx)$

solving this exercise using determinants and not gauss' method?

How to intuitively calculate the determinant of an arbitrary matrix

If $\cos2\theta=0$, then $\Delta^2=$?

What is the significance of this property of the determinant?

Prove $\left|\begin{smallmatrix} \sin^2x&\cot x&1\\ \sin^2y&\cot y&1\\ \sin^2z&\cot z&1 \end{smallmatrix}\right|=0$ if $x+y+z=\pi$

Extending the Proof for $\det(AB) = \det(A) \cdot \det(B)$ from the $3 \times 3$ to the $n \times n$ case

Can $A^3=0$ imply $|I+A|=0$?

Proof that $\det(AB) = \det(A) \det(B)$

Help with matrices problem

Easier way to identify a 3 variable determinant as symmetric polynomial

Eigenvalues for an expression

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