List questions from linear-algebra

Published on 11 May 2026 - 3:46

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If $A$ is a $2\times 2$ matrix over $\Bbb R$ with $\det(A+I)=1+\det A$ then which is correct:

Published on 13 Apr 2026 - 19:01

284

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Maximizing a function of the maximal and minimal eigenvalues

Published on 12 Apr 2026 - 13:45

223

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To make a special non-normal matrix diagonalizable

Published on 16 Apr 2026 - 5:37

84

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Orthogonal group isomorphisam

Published on 10 May 2026 - 18:19

282

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What inequalities can be obtained for summation of piecewise linear convex functions?

Published on 10 May 2026 - 12:54

708

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Eigenvalues and eigenvectors of a symmetric matrix whose rows and columns sum to $1$

Published on 11 May 2026 - 6:54

315

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Prove/disprove: $v\in V$ is an eigenvector of $T$ with an eigenvalue $\lambda\iff v$ is an eigenvector of $T^*$ with eigenvalue $\overline \lambda$.

Published on 14 Apr 2026 - 20:14

136

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given A linear map $T:V\longrightarrow V$, let $\dim V = n$, prove that for every $k\geq n,\ \operatorname{Im}T^{k}\cap \ker T^{k}=\{0\}$.

Published on 15 Apr 2026 - 11:45

204

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Find all possible Jordan forms

Published on 11 May 2026 - 6:12

618

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Solving linear system with zero constraint

Published on 10 May 2026 - 15:07

361

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Similarity of two rotation matrices

Published on 13 Apr 2026 - 16:30

52

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Factoring polynomials into prime prime polynomials

Published on 13 Apr 2026 - 19:07

341

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Prove the equation $AXB-BXA=0$ has at least one invertible solution in $M_n(F)$.

Published on 13 Apr 2026 - 8:15

57

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How to prescribe points for Bezier curve to pass through?

Published on 10 May 2026 - 16:06

List Question

About change of basis

If $A$ is a $2\times 2$ matrix over $\Bbb R$ with $\det(A+I)=1+\det A$ then which is correct:

Maximizing a function of the maximal and minimal eigenvalues

To make a special non-normal matrix diagonalizable

Orthogonal group isomorphisam

What inequalities can be obtained for summation of piecewise linear convex functions?

Eigenvalues and eigenvectors of a symmetric matrix whose rows and columns sum to $1$

Prove/disprove: $v\in V$ is an eigenvector of $T$ with an eigenvalue $\lambda\iff v$ is an eigenvector of $T^*$ with eigenvalue $\overline \lambda$.

given A linear map $T:V\longrightarrow V$, let $\dim V = n$, prove that for every $k\geq n,\ \operatorname{Im}T^{k}\cap \ker T^{k}=\{0\}$.

Find all possible Jordan forms

Solving linear system with zero constraint

Similarity of two rotation matrices

Factoring polynomials into prime prime polynomials

Prove the equation $AXB-BXA=0$ has at least one invertible solution in $M_n(F)$.

How to prescribe points for Bezier curve to pass through?

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