List questions from linear-algebra

Published on 09 Apr 2026 - 3:36

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Level Sets of Symmetric Functions

Published on 06 Apr 2026 - 4:18

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Change of basis matrix linear transformation

Published on 09 Apr 2026 - 17:45

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How do you extend a basis?

Published on 10 Apr 2026 - 18:47

750

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Two skew symmetric matrices of same rank are congruent.

Published on 09 Apr 2026 - 2:44

45

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Help in reducing given matrix to a particular form

Published on 09 Apr 2026 - 10:05

56

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Does the statement $x^\top Ax \cdot x^\top Bx = |x|^2 x^\top ABx$ hold for symmetric $A,B$?

Published on 11 Apr 2026 - 9:18

300

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Prove that $f^\ast\omega=\det f \cdot \omega$

Published on 10 Apr 2026 - 6:15

174

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Question on finding the dimension and basis of a family of vectors

Published on 02 Apr 2018 - 18:51

2.4k

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Prove symmetries of eigenvalues of symplectic matrices

Published on 09 Apr 2026 - 2:00

1.4k

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Showing Orthogonal Projection Matrix Multiplied by Full-Rank Matrices is Positive-Definite

Published on 25 Mar 2026 - 3:02

190

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Problem about cross product from Spivak

Published on 11 Apr 2026 - 8:15

82

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Dimension of image of transformation

Published on 27 Mar 2026 - 10:10

83

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Find general formula of a linear tranformation and its range and kernel

Published on 10 Apr 2026 - 20:23

105

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$\varphi_{i_1}\wedge\dots\wedge\varphi_{i_k}(v_1,\dots,v_k)$ as a determinant

Published on 24 Mar 2026 - 22:13

List Question

Why do transformations of ellipses by matrix transformations remain ellipses.

Level Sets of Symmetric Functions

Change of basis matrix linear transformation

How do you extend a basis?

Two skew symmetric matrices of same rank are congruent.

Help in reducing given matrix to a particular form

Does the statement $x^\top Ax \cdot x^\top Bx = |x|^2 x^\top ABx$ hold for symmetric $A,B$?

Prove that $f^\ast\omega=\det f \cdot \omega$

Question on finding the dimension and basis of a family of vectors

Prove symmetries of eigenvalues of symplectic matrices

Showing Orthogonal Projection Matrix Multiplied by Full-Rank Matrices is Positive-Definite

Problem about cross product from Spivak

Dimension of image of transformation

Find general formula of a linear tranformation and its range and kernel

$\varphi_{i_1}\wedge\dots\wedge\varphi_{i_k}(v_1,\dots,v_k)$ as a determinant

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