List questions from matrix-decomposition

Published on 26 Nov 2019 - 8:32

42

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Find $A \in \mathbb{R}^{m \times r}$, $B \in \mathbb{R}^{r \times n}$, with $m > n \geq r$, such that $(A \cdot B)^+$ can be trivially computed

Published on 26 Nov 2019 - 12:47

48

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Why does this decompose into a direct sum?

Published on 27 Nov 2019 - 16:13

830

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Eigenvalues using cholesky factors

Published on 27 Mar 2026 - 22:16

188

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Changing basis of singular vectors in an SVD

Published on 26 Mar 2026 - 22:53

991

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Rank of the sum of rank-1 matrices

Published on 29 Nov 2019 - 12:33

70

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If $A∈M_{2×2}$ is a matrix that follows this condition $A^1+A^2=I_2$ show that A is invertible

Published on 29 Nov 2019 - 13:46

93

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Special non-negative matrix decomposition

Published on 25 Mar 2026 - 3:05

218

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Can the Gram-Schmidt projection be thought of as finding the nearest point in the subspace of orthogonal matrices, with a suitable distance?

Published on 01 Dec 2019 - 23:16

207

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Condition for a Hermitian matrix to fulfill $H^\top = U \cdot H\cdot U$ for some symmetric unitary $U$.

Published on 27 Mar 2026 - 3:59

124

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Right Inverse from Singular Values

Published on 26 Mar 2026 - 12:51

207

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Guarantee symmetric, positive definite matrix within cost function

Published on 06 Dec 2019 - 23:07

337

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Two results of monotone operators of matrices

Published on 10 Dec 2019 - 19:55

412

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Is every positive semidefinite matrix the Gramian of a matrix over the same ring?

Published on 26 Mar 2026 - 9:41

69

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intuitively meaning of $\underbrace{M^{T}\quad T\quad M}_?$

Published on 12 Dec 2019 - 17:56

List Question

Find matrices $A, B \in \mathbb{R}^{m\times n}$ such that $AB^T$ is orthogonal

Find $A \in \mathbb{R}^{m \times r}$, $B \in \mathbb{R}^{r \times n}$, with $m > n \geq r$, such that $(A \cdot B)^+$ can be trivially computed

Why does this decompose into a direct sum?

Eigenvalues using cholesky factors

Changing basis of singular vectors in an SVD

Rank of the sum of rank-1 matrices

If $A∈M_{2×2}$ is a matrix that follows this condition $A^1+A^2=I_2$ show that A is invertible

Special non-negative matrix decomposition

Can the Gram-Schmidt projection be thought of as finding the nearest point in the subspace of orthogonal matrices, with a suitable distance?

Condition for a Hermitian matrix to fulfill $H^\top = U \cdot H\cdot U$ for some symmetric unitary $U$.

Right Inverse from Singular Values

Guarantee symmetric, positive definite matrix within cost function

Two results of monotone operators of matrices

Is every positive semidefinite matrix the Gramian of a matrix over the same ring?

intuitively meaning of $\underbrace{M^{T}\quad T\quad M}_?$

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