Question

How to take the determinant of $(A-\lambda I)X=0$?

score 373 · Answer 1 · 2018-02-12 18:49:14

373

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How to take the determinant of $(A-\lambda I)X=0$?

Published on 12 Feb 2018 - 18:49

score 2.1k · Answer 2 · 2018-02-13 00:17:15

2.1k

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Swapping two rows changes the sign of the determinant proof using induction

Published on 13 Feb 2018 - 0:17

score 285 · Answer 3 · 2018-02-13 05:23:34

285

Views

Determinant prove (Faster method to solve it)

Published on 13 Feb 2018 - 5:23

score 82 · Answer 4 · 2018-02-13 10:26:00

82

Views

Is the determinant of $\lambda I-A$ product of diagonal entries, if for every $\sigma\neq \sigma_0$, $a_{1\sigma(1)}\dots a_{n\sigma(n)}=0,$?

Published on 13 Feb 2018 - 10:26

score 205 · Answer 5 · 2018-02-13 20:54:22

205

Views

Prove that this $3 \times 3$ determinant vanishes

Published on 13 Feb 2018 - 20:54

score 73 · Answer 6 · 2018-02-14 01:34:15

73

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Linear algebra by Loehr exercise

Published on 14 Feb 2018 - 1:34

score 94 · Answer 7 · 2018-02-14 08:19:59

94

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Determinant of an $n×n$ identity matrix with two arbitrary rows

Published on 14 Feb 2018 - 8:19

score 263 · Answer 8 · 2018-02-14 11:02:45

263

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Prove $|A.B|=|A|.|B|$ using matrix algebra

Published on 14 Feb 2018 - 11:02

score 103 · Answer 9 · 2018-02-14 19:41:18

103

Views

Suppose $a,b,c \neq 0$. Show that $\det(1+a,1,1),(1,1+b,1),(1,1,1+c) = abc\left(1 + \frac1a + \frac1b + \frac1c\right)$

Published on 14 Feb 2018 - 19:41

score 206 · Answer 10 · 2026-03-25 07:00:47

206

Views

$\sqrt{\det(A^TA)}$ for transformations into lower dimensions

Published on 25 Mar 2026 - 7:00

score 388 · Answer 11 · 2026-03-24 22:01:22

388

Views

Fastest way to compute a determinant from a LaTeX matrix input

Published on 24 Mar 2026 - 22:01

score 197 · Answer 12 · 2018-02-15 03:55:49

197

Views

determinants in matrices

Published on 15 Feb 2018 - 3:55

score 2.3k · Answer 13 · 2026-03-25 02:58:12

2.3k

Views

How many sub-square matrices does a square matrix have and is there a simple formula for it?

Published on 25 Mar 2026 - 2:58

score 1.1k · Answer 14 · 2026-03-24 22:04:50

1.1k

Views

Cofactor expression with Levi Civita symbol

Published on 24 Mar 2026 - 22:04

score 34 · Answer 15 · 2026-03-24 20:31:58

34

Views

Finding real values for x that form dependet vectors

Published on 24 Mar 2026 - 20:31

List Question

How to take the determinant of $(A-\lambda I)X=0$?

Swapping two rows changes the sign of the determinant proof using induction

Determinant prove (Faster method to solve it)

Is the determinant of $\lambda I-A$ product of diagonal entries, if for every $\sigma\neq \sigma_0$, $a_{1\sigma(1)}\dots a_{n\sigma(n)}=0,$?

Prove that this $3 \times 3$ determinant vanishes

Linear algebra by Loehr exercise

Determinant of an $n×n$ identity matrix with two arbitrary rows

Prove $|A.B|=|A|.|B|$ using matrix algebra

Suppose $a,b,c \neq 0$. Show that $\det(1+a,1,1),(1,1+b,1),(1,1,1+c) = abc\left(1 + \frac1a + \frac1b + \frac1c\right)$

$\sqrt{\det(A^TA)}$ for transformations into lower dimensions

Fastest way to compute a determinant from a LaTeX matrix input

determinants in matrices

How many sub-square matrices does a square matrix have and is there a simple formula for it?

Cofactor expression with Levi Civita symbol

Finding real values for x that form dependet vectors

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