List questions from determinant

Published on 30 Mar 2026 - 14:32

70

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Let $A \in M_2(\mathbb R)$ such that $AA^T=A^TA=I$ and $\det(A)=1$. Which one of the following is necessarily true?

Published on 09 Jun 2019 - 15:22

2.3k

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Relationship between a determinant and the roots of a cubic equation

Published on 25 Mar 2026 - 20:11

178

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Maximizing the determinant $\det (I+SS^T)$

Published on 28 Mar 2026 - 12:13

119

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Prove the determinant identity

Published on 14 Jun 2019 - 16:28

75

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3rd order determinant is formed using 0 & 1 as its elements. How many determinant will give value 0.

Published on 14 Jun 2019 - 20:18

252

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How independent are the minors of a matrix?

Published on 16 Jun 2019 - 12:09

25

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A determinant of a combination of matrices

Published on 16 Jun 2019 - 17:04

97

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What is the determinant of this matrix?

Published on 16 Jun 2019 - 18:29

57

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Prove the determinant identity (2)

Published on 16 Jun 2019 - 19:00

1.1k

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Prove $\det \left[\begin{smallmatrix} A&B\\\\C&D\\ \end{smallmatrix}\right] =\det(AD-BC)$ for $A,B,C,D$ upper triangular complex matrices

Published on 25 Mar 2026 - 15:59

1.3k

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Largest value of a third order determinant whose elements are 0 or 1

Published on 17 Jun 2019 - 18:10

151

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$T_w(v)=v-\frac{2\langle v,w \rangle }{\langle w,w \rangle}w $, for $v\in\mathbb{R}^n$

Published on 18 Jun 2019 - 13:56

72

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Significance of determinant of $n \times n$ Matrix?

Published on 18 Jun 2019 - 15:55

289

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Determinant and wedge product confusion

Published on 25 Mar 2026 - 17:43

List Question

Show that $|A_k|\ne 0$

Let $A \in M_2(\mathbb R)$ such that $AA^T=A^TA=I$ and $\det(A)=1$. Which one of the following is necessarily true?

Relationship between a determinant and the roots of a cubic equation

Maximizing the determinant $\det (I+SS^T)$

Prove the determinant identity

3rd order determinant is formed using 0 & 1 as its elements. How many determinant will give value 0.

How independent are the minors of a matrix?

A determinant of a combination of matrices

What is the determinant of this matrix?

Prove the determinant identity (2)

Prove $\det \left[\begin{smallmatrix} A&B\\\\C&D\\ \end{smallmatrix}\right] =\det(AD-BC)$ for $A,B,C,D$ upper triangular complex matrices

Largest value of a third order determinant whose elements are 0 or 1

$T_w(v)=v-\frac{2\langle v,w \rangle }{\langle w,w \rangle}w $, for $v\in\mathbb{R}^n$

Significance of determinant of $n \times n$ Matrix?

Determinant and wedge product confusion

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