List questions from determinant

Published on 04 Jun 2018 - 22:21

130

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Is 'det' a single function?

Published on 26 Mar 2026 - 12:32

517

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Prove that $\det(X), \det(X+I), \det(X-I)$ are linearly independent functions

Published on 05 Jun 2018 - 9:51

245

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The proportion of $2 \times 2$ non-singular matrix whose terms are either $0$ or $1$ is

Published on 06 Jun 2018 - 3:00

295

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Finding the pattern to a general matrix

Published on 07 Jun 2018 - 3:40

140

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Without Calculation, why is $Q^{-1}$ a Matrix of Rotation

Published on 25 Mar 2026 - 7:43

39

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If a matrix is positive-definite, is every term in its determinant (as sum over permutations) nonnegative?

Published on 25 Mar 2026 - 9:26

5.2k

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Proving that determinants of matrices are linear transformations

Published on 07 Jun 2018 - 16:03

81

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Are there scalars $a, b,$ and $c$ such that $A.X = B$ has infinite solutions? And such that the system does not have solutions?

Published on 25 Mar 2026 - 23:38

73

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What can we say about this matrix?

Published on 27 Mar 2026 - 7:22

49

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When does $\det(I+G^\top A^{-1}G) \leq \det(I+G^\top D^{-1}G) $ hold?

Published on 25 Mar 2026 - 16:02

57

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A alternate approach to an elementary determinant problem

Published on 11 Jun 2018 - 17:00

126

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Prove some determinant equality

Published on 11 Jun 2018 - 21:58

805

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Inequality for determinant of convex combination

Published on 25 Mar 2026 - 9:37

279

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Nonlinear eigenvalue problem - MATLAB code

Published on 27 Mar 2026 - 5:16

List Question

det(AB)=det(A)det(B) using the permutations formula

Is 'det' a single function?

Prove that $\det(X), \det(X+I), \det(X-I)$ are linearly independent functions

The proportion of $2 \times 2$ non-singular matrix whose terms are either $0$ or $1$ is

Finding the pattern to a general matrix

Without Calculation, why is $Q^{-1}$ a Matrix of Rotation

If a matrix is positive-definite, is every term in its determinant (as sum over permutations) nonnegative?

Proving that determinants of matrices are linear transformations

Are there scalars $a, b,$ and $c$ such that $A.X = B$ has infinite solutions? And such that the system does not have solutions?

What can we say about this matrix?

When does $\det(I+G^\top A^{-1}G) \leq \det(I+G^\top D^{-1}G) $ hold?

A alternate approach to an elementary determinant problem

Prove some determinant equality

Inequality for determinant of convex combination

Nonlinear eigenvalue problem - MATLAB code

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