Question

Prove that if the matrix $\begin{bmatrix}a & b\\b & c\end{bmatrix}$ is nonnegative definite, then it has a factorization $LL^{T}$

score 187 · Answer 1 · 2018-04-14 17:06:29

187

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Prove that if the matrix $\begin{bmatrix}a & b\\b & c\end{bmatrix}$ is nonnegative definite, then it has a factorization $LL^{T}$

Published on 14 Apr 2018 - 17:06

score 211 · Answer 2 · 2026-03-24 20:31:52

211

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Prove $A^\alpha$ positive semi definite

Published on 24 Mar 2026 - 20:31

score 2.4k · Answer 3 · 2018-04-14 22:15:32

2.4k

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When is the equicorrelation matrix positive-definite?

Published on 14 Apr 2018 - 22:15

score 318 · Answer 4 · 2026-03-24 20:32:10

318

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Find necessary and sufficient conditions on $a,b,c$ such that the matrix $\begin{bmatrix}a & b\\b & c\end{bmatrix}$ has a factorization $LL^{T}$

Published on 24 Mar 2026 - 20:32

score 291 · Answer 5 · 2018-04-15 20:46:35

291

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Show that $\mathbf{X}_{tr} \leq \sqrt{nm} f(\mathbf{X})$

Published on 15 Apr 2018 - 20:46

score 1.1k · Answer 6 · 2018-04-16 05:07:58

1.1k

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Is it true: A real block diagonal matrix is diagonalizable if and only if each block is diagonalizable.

Published on 16 Apr 2018 - 5:07

score 474 · Answer 7 · 2018-04-16 06:16:26

474

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Symmetric matrix- matrix transpose times matrix decomposition

Published on 16 Apr 2018 - 6:16

score 2.4k · Answer 8 · 2018-04-17 14:15:49

2.4k

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Under what conditions does QR decomposition lead to a non-invertible upper triangular matrix?

Published on 17 Apr 2018 - 14:15

score 65 · Answer 9 · 2026-03-23 23:45:37

65

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Matrix Square Root Singularity

Published on 23 Mar 2026 - 23:45

score 85 · Answer 10 · 2018-04-18 03:24:20

85

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What what value of a is A diagonalizable?

Published on 18 Apr 2018 - 3:24

score 4k · Answer 11 · 2026-03-24 23:52:52

4k

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Short way for upper triangularization

Published on 24 Mar 2026 - 23:52

score 111 · Answer 12 · 2026-03-21 22:54:05

111

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Matrix with a parameter positive definite and Cholesky decomposition yield different conditions

Published on 21 Mar 2026 - 22:54

score 1.1k · Answer 13 · 2018-04-22 23:55:08

1.1k

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Extent of uniqueness of QR decomposition

Published on 22 Apr 2018 - 23:55

score 437 · Answer 14 · 2018-04-23 00:16:39

437

Views

Matrix decomposition into 2x2 elementary transforms

Published on 23 Apr 2018 - 0:16

score 180 · Answer 15 · 2018-04-23 09:24:57

180

Views

Khatri-Rao product and normalized rows

Published on 23 Apr 2018 - 9:24

List Question

Prove that if the matrix $\begin{bmatrix}a & b\\b & c\end{bmatrix}$ is nonnegative definite, then it has a factorization $LL^{T}$

Prove $A^\alpha$ positive semi definite

When is the equicorrelation matrix positive-definite?

Find necessary and sufficient conditions on $a,b,c$ such that the matrix $\begin{bmatrix}a & b\\b & c\end{bmatrix}$ has a factorization $LL^{T}$

Show that $\mathbf{X}_{tr} \leq \sqrt{nm} f(\mathbf{X})$

Is it true: A real block diagonal matrix is diagonalizable if and only if each block is diagonalizable.

Symmetric matrix- matrix transpose times matrix decomposition

Under what conditions does QR decomposition lead to a non-invertible upper triangular matrix?

Matrix Square Root Singularity

What what value of a is A diagonalizable?

Short way for upper triangularization

Matrix with a parameter positive definite and Cholesky decomposition yield different conditions

Extent of uniqueness of QR decomposition

Matrix decomposition into 2x2 elementary transforms

Khatri-Rao product and normalized rows

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