List questions from linear-algebra

Published on 20 Mar 2026 - 23:10

40

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$\vec{u}$,$\vec{v}$,$\vec{w} \in \mathbb{C}^{2017}$ are linearly independent

Published on 25 Mar 2026 - 17:45

1.3k

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Proof Verification: $\dim\mathrm{Im} T+\dim\ker T=\dim V$

Published on 26 Mar 2026 - 1:09

37

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Similarities of orthogonal and skew orthogonal

Published on 04 Feb 2018 - 1:42

313

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solve $XA = B$ in MATLAB

Published on 29 Mar 2026 - 15:38

157

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Approximation of the norm of the powers of this random matrix

Published on 27 Mar 2026 - 21:38

48

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Can I say that this matrix is positive definite?

Published on 04 Feb 2018 - 3:50

3.5k

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Eigenvalues without any calculations

Published on 26 Mar 2026 - 6:19

90

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Show that the $3\times 3$ matrix $A^TA$ is symmetric but singular — what vectors are in its null space?

Published on 04 Feb 2018 - 6:23

91

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Finding the inverse of a $4×4$ matrix containing only letter values.

Published on 04 Feb 2018 - 7:27

60

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How to prove the following claim

Published on 26 Mar 2026 - 4:31

47

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Why is my answer wrong when expanding this expression

Published on 27 Mar 2026 - 7:57

147

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$T$ is a linear operator, with $T^2=Id$. Is $T$ necessarily normal?

Published on 27 Mar 2026 - 2:02

1.6k

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What is the average value of the determinant of matrices in this set?

Published on 25 Mar 2026 - 20:36

1k

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Conjugates of eigenvalues are also eigenvalues

Published on 26 Mar 2026 - 2:53

List Question

Combine 3 items to total specific amounts

$\vec{u}$,$\vec{v}$,$\vec{w} \in \mathbb{C}^{2017}$ are linearly independent

Proof Verification: $\dim\mathrm{Im} T+\dim\ker T=\dim V$

Similarities of orthogonal and skew orthogonal

solve $XA = B$ in MATLAB

Approximation of the norm of the powers of this random matrix

Can I say that this matrix is positive definite?

Eigenvalues without any calculations

Show that the $3\times 3$ matrix $A^TA$ is symmetric but singular — what vectors are in its null space?

Finding the inverse of a $4×4$ matrix containing only letter values.

How to prove the following claim

Why is my answer wrong when expanding this expression

$T$ is a linear operator, with $T^2=Id$. Is $T$ necessarily normal?

What is the average value of the determinant of matrices in this set?

Conjugates of eigenvalues are also eigenvalues

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