Question

Equations involving $2 \times 2$ Matrices

score 257 · Answer 1 · 2026-03-26 10:58:36

257

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Equations involving $2 \times 2$ Matrices

Published on 26 Mar 2026 - 10:58

score 525 · Answer 2 · 2026-03-25 01:40:05

525

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Why doesn't the matrix $\begin{pmatrix} 10 & -20 & -20 \\ -20 & 40 & 40 \\ -20 & 40 & 40 \end{pmatrix}$ have an orthogonal set of eigenvectors?

Published on 25 Mar 2026 - 1:40

score 67 · Answer 3 · 2026-03-26 22:19:10

67

Views

Using Hessenburg reduction to solve linear system

Published on 26 Mar 2026 - 22:19

score 342 · Answer 4 · 2026-04-04 04:38:29

342

Views

Spectral radius of a complete bipartite graph

Published on 04 Apr 2026 - 4:38

score 154 · Answer 5 · 2018-04-15 13:15:17

154

Views

Let A be a matrix then $A^{50}$ is?

Published on 15 Apr 2018 - 13:15

score 213 · Answer 6 · 2026-03-25 09:25:16

213

Views

How many different structures of Jordan forms in $M(n,\mathbb{C})$?

Published on 25 Mar 2026 - 9:25

score 534 · Answer 7 · 2026-04-06 23:15:11

534

Views

Is $A^3=A$ a condition for idempotency of matrices?

Published on 06 Apr 2026 - 23:15

score 3.5k · Answer 8 · 2018-04-15 14:37:50

3.5k

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Determine if the three matrices span the vector space of $2\times 2$ matrices

Published on 15 Apr 2018 - 14:37

score 114 · Answer 9 · 2018-04-15 14:45:51

114

Views

Confirming whether a matrix is skew symmetric or not

Published on 15 Apr 2018 - 14:45

score 48 · Answer 10 · 2026-03-25 06:07:10

48

Views

$\operatorname{rank}(A)=n$ then $\left\lVert{A(A^TA)^{-1}A^T}\right\rVert_2 = 1$

Published on 25 Mar 2026 - 6:07

score 207 · Answer 11 · 2026-03-27 16:25:18

207

Views

Determining if a set of vectors is linearly independent

Published on 27 Mar 2026 - 16:25

score 282 · Answer 12 · 2026-03-26 20:25:50

282

Views

Two Vectors and their Cross Product

Published on 26 Mar 2026 - 20:25

score 1.1k · Answer 13 · 2026-03-30 15:08:43

1.1k

Views

Consistency of $A x = b$ and the rank of the augmented matrix

Published on 30 Mar 2026 - 15:08

score 77 · Answer 14 · 2026-03-25 03:00:58

77

Views

Showing that matrix $M=\left[\begin{array}{c|c} AA^t & 2b\\\hline 0^t & 1\end{array}\right]$ is positive-definite

Published on 25 Mar 2026 - 3:00

score 292 · Answer 15 · 2026-03-25 03:01:40

292

Views

Show that $\mathbf{X}_{tr} \leq \sqrt{nm} f(\mathbf{X})$

Published on 25 Mar 2026 - 3:01

List Question

Equations involving $2 \times 2$ Matrices

Why doesn't the matrix $\begin{pmatrix} 10 & -20 & -20 \\ -20 & 40 & 40 \\ -20 & 40 & 40 \end{pmatrix}$ have an orthogonal set of eigenvectors?

Using Hessenburg reduction to solve linear system

Spectral radius of a complete bipartite graph

Let A be a matrix then $A^{50}$ is?

How many different structures of Jordan forms in $M(n,\mathbb{C})$?

Is $A^3=A$ a condition for idempotency of matrices?

Determine if the three matrices span the vector space of $2\times 2$ matrices

Confirming whether a matrix is skew symmetric or not

$\operatorname{rank}(A)=n$ then $\left\lVert{A(A^TA)^{-1}A^T}\right\rVert_2 = 1$

Determining if a set of vectors is linearly independent

Two Vectors and their Cross Product

Consistency of $A x = b$ and the rank of the augmented matrix

Showing that matrix $M=\left[\begin{array}{c|c} AA^t & 2b\\\hline 0^t & 1\end{array}\right]$ is positive-definite

Show that $\mathbf{X}_{tr} \leq \sqrt{nm} f(\mathbf{X})$

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