List questions from matrix-decomposition

Published on 14 Apr 2026 - 23:14

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Compute the Jordan normal form of a $2 \times 2$ matrix

Published on 13 Apr 2026 - 20:20

296

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Orthogonal decomposition of positive definite matrices

Published on 10 May 2026 - 15:51

764

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Using Cholesky decomposition to solve a system of equaions $A^TAx=b$

Published on 10 May 2026 - 11:41

173

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Find Least Squares Problem Given Alternative Normal Equation

Published on 15 Apr 2026 - 4:23

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Are the eigenvectors of $A^2$ the same as the eigenvectors for $A$? Are the lambdas just squared?

Published on 15 Apr 2026 - 7:22

104

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Matrix with distinct eigenvectors corresponding to eigenvalues.

Published on 11 Apr 2026 - 0:42

46

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Matrix decomposition to its original product

Published on 07 May 2026 - 8:00

48

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A set of four matrix equations

Published on 14 Apr 2026 - 7:38

74

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Is $(I+A) A (I+A)^{-1}=A$ if $A$ is psd

Published on 10 Apr 2026 - 11:30

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How to prove for a PSD matrix $ \lambda _{\min} (A)\operatorname{tr}(B)\le \operatorname{tr}(AB) \le \lambda _{\max} (A)\operatorname{tr}(B)$

Published on 14 Apr 2026 - 23:55

387

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Stable way to find QR-decomposition

Published on 05 May 2026 - 5:26

4.2k

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Why is the square root of Cholesky decomposition equal to the lower triangular matrix?

Published on 03 May 2026 - 10:49

157

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Iwasawa decomposition of inverse

Published on 14 Apr 2026 - 2:39

287

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L1 norm constraint on product of 2 matrix

Published on 29 Apr 2026 - 2:55

List Question

Singular Value Decomposition of a 2 x 3 matrix

Compute the Jordan normal form of a $2 \times 2$ matrix

Orthogonal decomposition of positive definite matrices

Using Cholesky decomposition to solve a system of equaions $A^TAx=b$

Find Least Squares Problem Given Alternative Normal Equation

Are the eigenvectors of $A^2$ the same as the eigenvectors for $A$? Are the lambdas just squared?

Matrix with distinct eigenvectors corresponding to eigenvalues.

Matrix decomposition to its original product

A set of four matrix equations

Is $(I+A) A (I+A)^{-1}=A$ if $A$ is psd

How to prove for a PSD matrix $ \lambda _{\min} (A)\operatorname{tr}(B)\le \operatorname{tr}(AB) \le \lambda _{\max} (A)\operatorname{tr}(B)$

Stable way to find QR-decomposition

Why is the square root of Cholesky decomposition equal to the lower triangular matrix?

Iwasawa decomposition of inverse

L1 norm constraint on product of 2 matrix

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