Question

connection of linear combination and linear dependent and linear independent

score 590 · Answer 1 · 2026-03-25 09:38:41

590

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connection of linear combination and linear dependent and linear independent

Published on 25 Mar 2026 - 9:38

score 156 · Answer 2 · 2026-03-26 18:56:32

156

Views

Eigenvalue decomposition of a certain symmetric tridiagonal matrix

Published on 26 Mar 2026 - 18:56

score 336 · Answer 3 · 2026-03-25 05:02:12

336

Views

Applications of perturbation expansion of eigenvectors

Published on 25 Mar 2026 - 5:02

score 1.1k · Answer 4 · 2026-03-24 17:38:11

1.1k

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All roots $\lambda$ of $\det(A-\lambda B)=0$ are $\ge1$ when $B$ is p.d and $A-B$ is n.n.d.

Published on 24 Mar 2026 - 17:38

score 44 · Answer 5 · 2018-02-28 21:29:31

44

Views

The question is to find the equation in $s$ that expresses this equality. Artin's book problem

Published on 28 Feb 2018 - 21:29

score 598 · Answer 6 · 2026-03-24 22:06:55

598

Views

eigenvalue test for linear time-varying systems

Published on 24 Mar 2026 - 22:06

score 97 · Answer 7 · 2026-03-24 17:31:19

97

Views

If $M$ is p.d with $M^{-1}=\pmatrix{A&B\\C&D}^{-1}=\pmatrix{P&Q\\R&S}$, then $P-A^{-1}$ is n.n.d.

Published on 24 Mar 2026 - 17:31

score 139 · Answer 8 · 2018-03-01 11:01:23

139

Views

Find the eigenvalues of block matrix $C$

Published on 01 Mar 2018 - 11:01

score 240 · Answer 9 · 2018-03-01 16:20:29

240

Views

Show that if $\pm\lambda $ is an eigenvalue of $A$ then $\lambda^2$ is an eigenvalue of $A^TA$ and vice versa.

Published on 01 Mar 2018 - 16:20

score 52 · Answer 10 · 2018-03-01 16:34:07

52

Views

compute series with matrix and eigen value , eigen vector

Published on 01 Mar 2018 - 16:34

score 1.5k · Answer 11 · 2018-03-01 16:36:48

1.5k

Views

Let $A$ be an $m \times n$ matrix. Show $A^TA$ and $AA^T$ have the same eigenvalues

Published on 01 Mar 2018 - 16:36

score 634 · Answer 12 · 2018-03-01 19:10:02

634

Views

Examples of real $2\times2$ and complex $3\times3$ matrices with minimal polynomial $t^2+1$

Published on 01 Mar 2018 - 19:10

score 92 · Answer 13 · 2026-03-24 23:46:19

92

Views

Show that the eigenvalues of $\mathcal{O}(n,\mathbb{R})$ have magnitude 1.

Published on 24 Mar 2026 - 23:46

score 133 · Answer 14 · 2018-03-02 07:40:16

133

Views

Eigenvalues of an idempotent matrix can be $0$ or $1$

Published on 02 Mar 2018 - 7:40

score 55 · Answer 15 · 2018-03-02 17:15:14

55

Views

How to explain that I is needed for characteristic equation?

Published on 02 Mar 2018 - 17:15

List Question

connection of linear combination and linear dependent and linear independent

Eigenvalue decomposition of a certain symmetric tridiagonal matrix

Applications of perturbation expansion of eigenvectors

All roots $\lambda$ of $\det(A-\lambda B)=0$ are $\ge1$ when $B$ is p.d and $A-B$ is n.n.d.

The question is to find the equation in $s$ that expresses this equality. Artin's book problem

eigenvalue test for linear time-varying systems

If $M$ is p.d with $M^{-1}=\pmatrix{A&B\\C&D}^{-1}=\pmatrix{P&Q\\R&S}$, then $P-A^{-1}$ is n.n.d.

Find the eigenvalues of block matrix $C$

Show that if $\pm\lambda $ is an eigenvalue of $A$ then $\lambda^2$ is an eigenvalue of $A^TA$ and vice versa.

compute series with matrix and eigen value , eigen vector

Let $A$ be an $m \times n$ matrix. Show $A^TA$ and $AA^T$ have the same eigenvalues

Examples of real $2\times2$ and complex $3\times3$ matrices with minimal polynomial $t^2+1$

Show that the eigenvalues of $\mathcal{O}(n,\mathbb{R})$ have magnitude 1.

Eigenvalues of an idempotent matrix can be $0$ or $1$

How to explain that I is needed for characteristic equation?

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