List questions from matrices

Published on 27 Mar 2026 - 7:14

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Which Operation, Similar to a Log(), Keeps All Eigenvalues Positive?

Published on 27 Mar 2026 - 19:31

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Knowing that $A^2+B^2=\sqrt{2+\sqrt{2}}\cdot AB$, prove that $n$ is a multiple of $16$

Published on 26 Mar 2026 - 15:17

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Basis of Kernel and image of matrix

Published on 29 Mar 2018 - 20:21

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Show that a matrix is nonsingular

Published on 04 Apr 2026 - 21:48

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Is a nonsingular matrix not the same as an invertible matrix?

Published on 26 Mar 2026 - 15:16

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System and determinant

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How can one determine the stability of a given dynamical system?

Published on 25 Mar 2026 - 1:17

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Proving unitary similarity between two Hermitian operators with the same eigenvalues

Published on 06 Apr 2026 - 22:02

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Convexity of the Frobenius norm of the product of matrix and its transpose

Published on 30 Mar 2018 - 0:58

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If $A,B,C$ s.t. $A=BC$, then for any nonsingular $S$, $SAS^=(SBS^)C'$ where $C'$ is similar to $C$

Published on 25 Mar 2026 - 14:25

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How to calculate the derivative of $f(X) =\log \det(XX^TA^{-1})$

Published on 25 Mar 2026 - 4:43

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Let $A$ be an $n\times n$ singular matrix. Describe how to construct...

Published on 24 Mar 2026 - 20:41

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argue invertibalitiy of $A = B^4 + 3 B^2 + 7 B + 3 I$

Published on 25 Mar 2026 - 14:26

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On solving quadratic matrix equations

Published on 27 Mar 2026 - 13:13

List Question

How to prove that $X^{T}X$ is singular if $X$ is singular.

Which Operation, Similar to a Log(), Keeps All Eigenvalues Positive?

Knowing that $A^2+B^2=\sqrt{2+\sqrt{2}}\cdot AB$, prove that $n$ is a multiple of $16$

Basis of Kernel and image of matrix

Show that a matrix is nonsingular

Is a nonsingular matrix not the same as an invertible matrix?

System and determinant

How can one determine the stability of a given dynamical system?

Proving unitary similarity between two Hermitian operators with the same eigenvalues

Convexity of the Frobenius norm of the product of matrix and its transpose

If $A,B,C$ s.t. $A=BC$, then for any nonsingular $S$, $SAS^=(SBS^)C'$ where $C'$ is similar to $C$

How to calculate the derivative of $f(X) =\log \det(XX^TA^{-1})$

Let $A$ be an $n\times n$ singular matrix. Describe how to construct...

argue invertibalitiy of $A = B^4 + 3 B^2 + 7 B + 3 I$

On solving quadratic matrix equations

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