Question

How to prove that every real skew-symmetric matrix is congruent to a block diagonal matrix by using bilinear forms?

score 832 · Answer 1 · 2026-04-23 07:05:40

832

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How to prove that every real skew-symmetric matrix is congruent to a block diagonal matrix by using bilinear forms?

Published on 23 Apr 2026 - 7:05

score 186 · Answer 2 · 2026-04-16 16:35:15

186

Views

The Dimension of a Quotient Vector Space

Published on 16 Apr 2026 - 16:35

score 270 · Answer 3 · 2026-04-15 11:28:21

270

Views

Solving systems of equations in 3 variables

Published on 15 Apr 2026 - 11:28

score 8.8k · Answer 4 · 2026-04-21 10:35:20

8.8k

Views

How to find the third eigenvector of a 3x3 matrix given the other two eigenvectors?

Published on 21 Apr 2026 - 10:35

score 76 · Answer 5 · 2026-04-13 18:36:41

76

Views

Why can't this matrix be diagonalized by its own eigenvector matrix?

Published on 13 Apr 2026 - 18:36

score 69 · Answer 6 · 2026-04-10 19:15:41

69

Views

Finding the Eigenvalues and Eigenvectors of $(A+I)^{-1}$. (Without doing the actual inversion)

Published on 10 Apr 2026 - 19:15

score 55 · Answer 7 · 2026-04-14 14:12:48

55

Views

dimension of a subspace of matrix space

Published on 14 Apr 2026 - 14:12

score 123 · Answer 8 · 2026-04-15 14:03:10

123

Views

Vector field linearity

Published on 15 Apr 2026 - 14:03

score 147 · Answer 9 · 2026-04-10 04:16:25

147

Views

In what cases is $AB = B^T A$

Published on 10 Apr 2026 - 4:16

score 4k · Answer 10 · 2026-04-11 17:22:47

4k

Views

Partial derivative of matrix product in neural network

Published on 11 Apr 2026 - 17:22

score 259 · Answer 11 · 2026-04-13 20:27:32

259

Views

Roots of convex combination of two polynomials with real coefficient

Published on 13 Apr 2026 - 20:27

score 15.6k · Answer 12 · 2026-04-15 07:22:27

15.6k

Views

Are the eigenvectors of $A^2$ the same as the eigenvectors for $A$? Are the lambdas just squared?

Published on 15 Apr 2026 - 7:22

score 952 · Answer 13 · 2026-04-08 21:03:52

952

Views

Relating the trace and norm in Galois theory with the trace and determinant of a certain matrix

Published on 08 Apr 2026 - 21:03

score 407 · Answer 14 · 2026-04-17 03:15:29

407

Views

Without expanding, show that $\left| \begin{smallmatrix} 3&4&5 \\ 15&21&26 \\ 21&29&36 \\ \end{smallmatrix}\right|=0$

Published on 17 Apr 2026 - 3:15

score 112 · Answer 15 · 2026-03-25 10:55:43

112

Views

Defining a particular equivalence relation on square matrices relating to Jordan Canonical Form

Published on 25 Mar 2026 - 10:55

List Question

How to prove that every real skew-symmetric matrix is congruent to a block diagonal matrix by using bilinear forms?

The Dimension of a Quotient Vector Space

Solving systems of equations in 3 variables

How to find the third eigenvector of a 3x3 matrix given the other two eigenvectors?

Why can't this matrix be diagonalized by its own eigenvector matrix?

Finding the Eigenvalues and Eigenvectors of $(A+I)^{-1}$. (Without doing the actual inversion)

dimension of a subspace of matrix space

Vector field linearity

In what cases is $AB = B^T A$

Partial derivative of matrix product in neural network

Roots of convex combination of two polynomials with real coefficient

Are the eigenvectors of $A^2$ the same as the eigenvectors for $A$? Are the lambdas just squared?

Relating the trace and norm in Galois theory with the trace and determinant of a certain matrix

Without expanding, show that $\left| \begin{smallmatrix} 3&4&5 \\ 15&21&26 \\ 21&29&36 \\ \end{smallmatrix}\right|=0$

Defining a particular equivalence relation on square matrices relating to Jordan Canonical Form

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