Question

Let $M$ be an $n \times n$ complex matrix. Prove that there exist Hermitian matrices $A$ and $B$ such that $M = A + iB$

score 246 · Answer 1 · 2026-03-31 01:52:04

246

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Let $M$ be an $n \times n$ complex matrix. Prove that there exist Hermitian matrices $A$ and $B$ such that $M = A + iB$

Published on 31 Mar 2026 - 1:52

score 380 · Answer 2 · 2018-03-14 17:43:15

380

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Quick proof of Cauchy-Binet Identity

Published on 14 Mar 2018 - 17:43

score 230 · Answer 3 · 2026-03-25 08:10:49

230

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If $A,B,C$ are all $n\times n$ matrices where $AB=CA$ and $A$ is invertible, then $B=C$

Published on 25 Mar 2026 - 8:10

score 1k · Answer 4 · 2026-03-25 03:02:50

1k

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Rank of a matrix from its order of nilpotency

Published on 25 Mar 2026 - 3:02

score 1.1k · Answer 5 · 2026-03-25 20:23:15

1.1k

Views

Calculating the Moore-Penrose inverse of an incidence matrix

Published on 25 Mar 2026 - 20:23

score 151 · Answer 6 · 2026-03-25 20:31:56

151

Views

if $A$ is an $ n × n$ matrix, the A is the change of coordinates matrix from some bases $B$ and $C$ of $\mathbb R^n$

Published on 25 Mar 2026 - 20:31

score 1.3k · Answer 7 · 2026-04-01 18:13:31

1.3k

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Spectral Decomposition of $A=PDP^{-1}$

Published on 01 Apr 2026 - 18:13

score 93 · Answer 8 · 2018-03-14 20:01:59

93

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obtain all non zero solutions for a linear system

Published on 14 Mar 2018 - 20:01

score 74 · Answer 9 · 2026-03-25 03:01:14

74

Views

how to find value of iterative updates convergence

Published on 25 Mar 2026 - 3:01

score 288 · Answer 10 · 2026-03-24 22:01:50

288

Views

When Do I Have An Invertible Matrix of Partial Derivatives?

Published on 24 Mar 2026 - 22:01

score 53 · Answer 11 · 2026-03-25 08:10:04

53

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Help in proving linear algebra about inverse of a symmetric matrix

Published on 25 Mar 2026 - 8:10

score 647 · Answer 12 · 2026-04-05 22:09:52

647

Views

History Question - QR Factorization

Published on 05 Apr 2026 - 22:09

score 1.3k · Answer 13 · 2026-03-25 08:07:15

1.3k

Views

Finding invertible matricies without doing row operations

Published on 25 Mar 2026 - 8:07

score 338 · Answer 14 · 2026-03-26 12:06:37

338

Views

Maximize the spectral norm of a correlation matrix by scrambling its off-diagonal elements

Published on 26 Mar 2026 - 12:06

score 1.9k · Answer 15 · 2026-03-24 23:45:06

1.9k

Views

Is it always possible to row reduce any matrix to echelon form?

Published on 24 Mar 2026 - 23:45

List Question

Let $M$ be an $n \times n$ complex matrix. Prove that there exist Hermitian matrices $A$ and $B$ such that $M = A + iB$

Quick proof of Cauchy-Binet Identity

If $A,B,C$ are all $n\times n$ matrices where $AB=CA$ and $A$ is invertible, then $B=C$

Rank of a matrix from its order of nilpotency

Calculating the Moore-Penrose inverse of an incidence matrix

if $A$ is an $ n × n$ matrix, the A is the change of coordinates matrix from some bases $B$ and $C$ of $\mathbb R^n$

Spectral Decomposition of $A=PDP^{-1}$

obtain all non zero solutions for a linear system

how to find value of iterative updates convergence

When Do I Have An Invertible Matrix of Partial Derivatives?

Help in proving linear algebra about inverse of a symmetric matrix

History Question - QR Factorization

Finding invertible matricies without doing row operations

Maximize the spectral norm of a correlation matrix by scrambling its off-diagonal elements

Is it always possible to row reduce any matrix to echelon form?

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