List questions from matrices

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rank of a rectangular Vandermonde matrix

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Algebra and matrices.

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Let $A$ symmetric matrix, and $A^2\ne I$.

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Rank of a Vandermonde matrix

Published on 14 Apr 2026 - 16:40

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Looking for $H$ such that $H'DH=\sigma_1 I$ and $H'H=\sigma_2 I$, $D$ is a diagonal matrix.

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Show that $B$ $\in$ $GL_{n-1}($K$)$ $\Rightarrow$ $A$ $\in$ $GL_n$($K$)

Published on 12 Apr 2026 - 21:47

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Let $A\in M_{n\times n}(\Bbb R)$ so that $I\notin span(A,A^2,...,A^n)$. Prove that $\det(A)=0$.

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Isomorphisms between elements in $\mathbb{R}^n$ and $n \times 1$ column matrices

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Finding the condition number of a matrix

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66

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Rotating two vector by the same rotation matrix

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Calculating the translation of a vector.

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Matrix with $A_{ij} = a_i a_j$ for some vector $a\in\mathbb{R}^n$

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When is the Frobenius norm bounded by the nuclear norm?

Published on 22 Apr 2026 - 0:04

164

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How to find Transpose Matrix?

Published on 11 Apr 2026 - 3:41

List Question

norm of $AUx$ for unitary $U$

rank of a rectangular Vandermonde matrix

Algebra and matrices.

Let $A$ symmetric matrix, and $A^2\ne I$.

Rank of a Vandermonde matrix

Looking for $H$ such that $H'DH=\sigma_1 I$ and $H'H=\sigma_2 I$, $D$ is a diagonal matrix.

Show that $B$ $\in$ $GL_{n-1}($K$)$ $\Rightarrow$ $A$ $\in$ $GL_n$($K$)

Let $A\in M_{n\times n}(\Bbb R)$ so that $I\notin span(A,A^2,...,A^n)$. Prove that $\det(A)=0$.

Isomorphisms between elements in $\mathbb{R}^n$ and $n \times 1$ column matrices

Finding the condition number of a matrix

Rotating two vector by the same rotation matrix

Calculating the translation of a vector.

Matrix with $A_{ij} = a_i a_j$ for some vector $a\in\mathbb{R}^n$

When is the Frobenius norm bounded by the nuclear norm?

How to find Transpose Matrix?

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