List questions from matrix-decomposition

Published on 24 Apr 2018 - 1:23

62

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

Published on 24 Apr 2018 - 21:42

295

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Orthogonal decomposition of positive definite matrices

Published on 24 Mar 2026 - 20:38

759

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

Published on 22 Mar 2026 - 10:43

170

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Find Least Squares Problem Given Alternative Normal Equation

Published on 26 Apr 2018 - 13:54

15.6k

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

Published on 27 Apr 2018 - 3:56

101

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Matrix with distinct eigenvectors corresponding to eigenvalues.

Published on 28 Apr 2018 - 17:42

40

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Matrix decomposition to its original product

Published on 30 Apr 2018 - 2:17

44

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A set of four matrix equations

Published on 02 May 2018 - 7:57

71

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

Published on 02 May 2018 - 21:21

1.4k

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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 03 May 2018 - 16:39

380

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Stable way to find QR-decomposition

Published on 22 Mar 2026 - 8:57

4.2k

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

Published on 27 Feb 2026 - 21:33

153

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Iwasawa decomposition of inverse

Published on 05 May 2018 - 15:39

282

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L1 norm constraint on product of 2 matrix

Published on 17 Mar 2026 - 11:31

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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