List questions from linear-algebra

Published on 26 Mar 2026 - 19:04

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Perron-Frobenius Theorem and probability

Published on 26 Mar 2026 - 12:40

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Does $\det(A^2) = \det(A)*\det(A)$?

Published on 26 Mar 2026 - 12:05

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Prove linear independence of functions $1,x,x^2,...,x^n$

Published on 25 Mar 2026 - 19:06

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The eigenvector of toeplitz matrix

Published on 03 Apr 2026 - 22:10

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Let $M$ be an $n \times n$ complex matrix. Prove that there exist Hermitian matrices $A$ and $B$ such that $M = A + iB$

Published on 31 Mar 2026 - 1:52

34

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Query on definition used for inner product spaces

Published on 25 Mar 2026 - 14:39

54

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Is there a polynomial $f$ such that $f(A)=I$?

Published on 14 Mar 2018 - 17:56

230

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If $A,B,C$ are all $n\times n$ matrices where $AB=CA$ and $A$ is invertible, then $B=C$

Published on 25 Mar 2026 - 8:10

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Rank of a matrix from its order of nilpotency

Published on 25 Mar 2026 - 3:02

1.1k

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Calculating the Moore-Penrose inverse of an incidence matrix

Published on 25 Mar 2026 - 20:23

181

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Can the method for producing a spanning set for Nul A fail to produce a basis for NulA?

Published on 14 Mar 2018 - 18:16

153

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Show that the operator $Lu$ is linear, symmetric, positive and coercive operator.

Published on 14 Mar 2018 - 18:19

72

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Example of two non-zero operators $A$ and $B$ such that $AB=0$

Published on 14 Mar 2018 - 18:33

151

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if $A$ is an $ n × n$ matrix, the A is the change of coordinates matrix from some bases $B$ and $C$ of $\mathbb R^n$

Published on 25 Mar 2026 - 20:31

List Question

Is $V$ infinite-dimensional?

Perron-Frobenius Theorem and probability

Does $\det(A^2) = \det(A)*\det(A)$?

Prove linear independence of functions $1,x,x^2,...,x^n$

The eigenvector of toeplitz matrix

Let $M$ be an $n \times n$ complex matrix. Prove that there exist Hermitian matrices $A$ and $B$ such that $M = A + iB$

Query on definition used for inner product spaces

Is there a polynomial $f$ such that $f(A)=I$?

If $A,B,C$ are all $n\times n$ matrices where $AB=CA$ and $A$ is invertible, then $B=C$

Rank of a matrix from its order of nilpotency

Calculating the Moore-Penrose inverse of an incidence matrix

Can the method for producing a spanning set for Nul A fail to produce a basis for NulA?

Show that the operator $Lu$ is linear, symmetric, positive and coercive operator.

Example of two non-zero operators $A$ and $B$ such that $AB=0$

if $A$ is an $ n × n$ matrix, the A is the change of coordinates matrix from some bases $B$ and $C$ of $\mathbb R^n$

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