List questions from determinant

Published on 09 Apr 2020 - 4:40

127

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Let $[{\bf a} \times {\bf b} \space \; {\bf b} \times {\bf c}\space\; {\bf c} \times {\bf a} ]=k[{\bf a}\space{\bf b}\space{\bf c}]^2$. Find $k$.

Published on 26 Mar 2026 - 20:16

46

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Check if the determinant of a positive definite matrix equals the product of its diagonal elements, then the matrix is diagonal

Published on 27 Mar 2026 - 16:22

366

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Matrix Determinant Lemma Generalization

Published on 09 Apr 2020 - 14:52

105

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Using the equation $ A^{-1} + B^{-1} = (A+B)^{-1} $ to find relations between det(A) and det(B)

Published on 09 Apr 2020 - 15:05

178

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Determinant: Expanding in the $n$-th row repeatedly in terms of the original matrix

Published on 10 Apr 2020 - 9:10

478

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Characterization of invertible elements of a ring

Published on 01 Apr 2026 - 13:14

339

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Unimodular Matrix Inverse Proof Confusion

Published on 22 Mar 2026 - 6:49

71

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How does $\frac{df_1}{dx}$ convert to $2xy$ when $f_1(x,y) = x^2 \cdot y$

Published on 26 Mar 2026 - 10:45

246

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3x3 system of equations

Published on 11 Apr 2020 - 18:08

65

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Finding the volume of weird pyramid

Published on 27 Mar 2026 - 6:08

50

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Confusion in Proof Involving Determinants of Matrices

Published on 12 Apr 2020 - 5:10

540

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Show that the following matrix is equal to 0, where $\omega$ is a complex cube root of unity.

Published on 27 Mar 2026 - 17:35

131

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How to determine direct solution of determinant?

Published on 25 Mar 2026 - 11:22

100

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How to evaluate directly the determinant?

Published on 25 Mar 2026 - 9:46

List Question

Find the determinant of matrix

Let $[{\bf a} \times {\bf b} \space \; {\bf b} \times {\bf c}\space\; {\bf c} \times {\bf a} ]=k[{\bf a}\space{\bf b}\space{\bf c}]^2$. Find $k$.

Check if the determinant of a positive definite matrix equals the product of its diagonal elements, then the matrix is diagonal

Matrix Determinant Lemma Generalization

Using the equation $ A^{-1} + B^{-1} = (A+B)^{-1} $ to find relations between det(A) and det(B)

Determinant: Expanding in the $n$-th row repeatedly in terms of the original matrix

Characterization of invertible elements of a ring

Unimodular Matrix Inverse Proof Confusion

How does $\frac{df_1}{dx}$ convert to $2xy$ when $f_1(x,y) = x^2 \cdot y$

3x3 system of equations

Finding the volume of weird pyramid

Confusion in Proof Involving Determinants of Matrices

Show that the following matrix is equal to 0, where $\omega$ is a complex cube root of unity.

How to determine direct solution of determinant?

How to evaluate directly the determinant?

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