Question

For symmetric, invertible $p$ x $p$ matrices $V$ and $A$, show that $(V^{-1} + A^{-1})^{-1}= A(V+A)^{-1}V = V(V+A)^{-1}A$

score 56 · Answer 1 · 2026-04-16 05:48:41

56

Views

For symmetric, invertible $p$ x $p$ matrices $V$ and $A$, show that $(V^{-1} + A^{-1})^{-1}= A(V+A)^{-1}V = V(V+A)^{-1}A$

Published on 16 Apr 2026 - 5:48

score 2.4k · Answer 2 · 2026-04-10 19:48:37

2.4k

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How to perform this vector/matrix computation?

Published on 10 Apr 2026 - 19:48

score 1.4k · Answer 3 · 2026-04-12 21:28:25

1.4k

Views

Is the maximum rotation by multiplying a positive definite matrix is less than 90 degrees?

Published on 12 Apr 2026 - 21:28

score 29 · Answer 4 · 2026-04-16 09:57:59

29

Views

Prove: It exist $ n\geq0$ and $ \lambda_0,\dots,\lambda_n\in\mathbb{Q}$, so that $ \varphi = \sum_{i=0}^n\lambda_i(x^i)^*$.

Published on 16 Apr 2026 - 9:57

score 284 · Answer 5 · 2026-04-14 17:57:11

284

Views

Nested convex curves: inside curve strictly shorter

Published on 14 Apr 2026 - 17:57

score 315 · Answer 6 · 2026-05-04 13:31:50

315

Views

Path connectedness of $SL_n(C)$

Published on 04 May 2026 - 13:31

score 172 · Answer 7 · 2026-04-12 01:13:58

172

Views

Logarithmic penalty term approximated by a quadratic function

Published on 12 Apr 2026 - 1:13

score 28 · Answer 8 · 2026-04-15 09:42:08

28

Views

True or false? $ \dim_{\mathbb{K}}(U) - \dim_{\mathbb{K}}(\bigcap_{\varphi\in U}$Kernel$ (\varphi)) = 6$.

Published on 15 Apr 2026 - 9:42

score 676 · Answer 9 · 2026-04-29 12:54:30

676

Views

What is sigma symbols with reduce represent?

Published on 29 Apr 2026 - 12:54

score 306 · Answer 10 · 2026-04-15 09:06:08

306

Views

Show that Matrix $M$ is diagonizable if the characteristic polynomial is irreducible

Published on 15 Apr 2026 - 9:06

score 40 · Answer 11 · 2026-04-14 15:01:51

40

Views

Shopper shelf view point calculation with webcam algorithm

Published on 14 Apr 2026 - 15:01

score 11.8k · Answer 12 · 2026-04-11 08:13:37

11.8k

Views

What exactly is a matrix?

Published on 11 Apr 2026 - 8:13

score 173 · Answer 13 · 2026-04-11 07:16:23

173

Views

Effect of adding a constant to the diagonal of the right matrix on the eigenvalues in a generalized eigenvalue problem

Published on 11 Apr 2026 - 7:16

score 72 · Answer 14 · 2026-04-14 18:08:55

72

Views

Is it true that $M^{-1}\in [\{M^i: i\geq0\}]$ for all $M\in\mathsf{GL}(7,\mathbb{C})$?

Published on 14 Apr 2026 - 18:08

score 54 · Answer 15 · 2026-04-14 14:23:41

54

Views

Positive definiteness of a certain matrix product

Published on 14 Apr 2026 - 14:23

List Question

For symmetric, invertible $p$ x $p$ matrices $V$ and $A$, show that $(V^{-1} + A^{-1})^{-1}= A(V+A)^{-1}V = V(V+A)^{-1}A$

How to perform this vector/matrix computation?

Is the maximum rotation by multiplying a positive definite matrix is less than 90 degrees?

Prove: It exist $ n\geq0$ and $ \lambda_0,\dots,\lambda_n\in\mathbb{Q}$, so that $ \varphi = \sum_{i=0}^n\lambda_i(x^i)^*$.

Nested convex curves: inside curve strictly shorter

Path connectedness of $SL_n(C)$

Logarithmic penalty term approximated by a quadratic function

True or false? $ \dim_{\mathbb{K}}(U) - \dim_{\mathbb{K}}(\bigcap_{\varphi\in U}$Kernel$ (\varphi)) = 6$.

What is sigma symbols with reduce represent?

Show that Matrix $M$ is diagonizable if the characteristic polynomial is irreducible

Shopper shelf view point calculation with webcam algorithm

What exactly is a matrix?

Effect of adding a constant to the diagonal of the right matrix on the eigenvalues in a generalized eigenvalue problem

Is it true that $M^{-1}\in [\{M^i: i\geq0\}]$ for all $M\in\mathsf{GL}(7,\mathbb{C})$?

Positive definiteness of a certain matrix product

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