Question

If $ad−bc \neq 0$, then the following matrix must have rank $2$. (True/False)

score 2.1k · Answer 1 · 2017-06-03 22:05:27

2.1k

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If $ad−bc \neq 0$, then the following matrix must have rank $2$. (True/False)

Published on 03 Jun 2017 - 22:05

score 142 · Answer 2 · 2026-03-28 15:21:26

142

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Show that image of $f(\phi, \psi ) = ((R+r\cos\varphi ) \cos \psi, (R+r\cos \varphi) \sin \psi, r \sin \varphi)$ is a submanifold.

Published on 28 Mar 2026 - 15:21

score 1.2k · Answer 3 · 2017-06-05 22:41:47

1.2k

Views

Rank of a particular type of block matrix

Published on 05 Jun 2017 - 22:41

score 144 · Answer 4 · 2017-06-06 08:32:50

144

Views

Show that $A$ and $B$ have a common eigenvector

Published on 06 Jun 2017 - 8:32

score 114 · Answer 5 · 2017-06-07 09:29:39

114

Views

full rankness of this matrix

Published on 07 Jun 2017 - 9:29

score 415 · Answer 6 · 2017-06-08 03:30:37

415

Views

Polynomials and matrices.

Published on 08 Jun 2017 - 3:30

score 441 · Answer 7 · 2017-06-08 16:34:50

441

Views

If $A \in M_{n \times m}(\mathbb{R})$, why is $\operatorname{rk}(A) = \operatorname{rk}(AA^t)$?

Published on 08 Jun 2017 - 16:34

score 69 · Answer 8 · 2017-06-10 11:00:09

69

Views

How to prove that if $\{v_1,v_2,..,v_n\}$ $n>1$ are solutions to $Ax=b$, $b \neq 0$ then $rank(A)=1$?

Published on 10 Jun 2017 - 11:00

score 63 · Answer 9 · 2017-06-10 11:39:45

63

Views

can the $rank$ of this matrix ever be 2?

Published on 10 Jun 2017 - 11:39

score 187 · Answer 10 · 2017-06-10 14:22:25

187

Views

What is the rank of matrix $A\in \mathbb{R}^m\times \mathbb{R}^n$ with entries $a_{i,j} = i + j$?

Published on 10 Jun 2017 - 14:22

score 1.8k · Answer 11 · 2026-03-27 12:13:24

1.8k

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Can I develop a LQR if the system is NOT controllable but stable?

Published on 27 Mar 2026 - 12:13

score 182 · Answer 12 · 2017-06-12 01:17:58

182

Views

How to derive this rank equality for block matrices?

Published on 12 Jun 2017 - 1:17

score 350 · Answer 13 · 2026-04-01 17:04:05

350

Views

Diagonalizable matrix known rank, trace and a vector property

Published on 01 Apr 2026 - 17:04

score 109 · Answer 14 · 2017-06-13 22:06:30

109

Views

A question about comparison between orthogonal projections

Published on 13 Jun 2017 - 22:06

score 37 · Answer 15 · 2026-03-27 15:36:18

37

Views

$S:=\{A \in M(3,\mathbb R) : A^TA(e_1)=e_1 ; A^TA(e_2)=A^TA(e_3)=0\}$ ; then does $S$ contain a nilpotent matrix?

Published on 27 Mar 2026 - 15:36

List Question

If $ad−bc \neq 0$, then the following matrix must have rank $2$. (True/False)

Show that image of $f(\phi, \psi ) = ((R+r\cos\varphi ) \cos \psi, (R+r\cos \varphi) \sin \psi, r \sin \varphi)$ is a submanifold.

Rank of a particular type of block matrix

Show that $A$ and $B$ have a common eigenvector

full rankness of this matrix

Polynomials and matrices.

If $A \in M_{n \times m}(\mathbb{R})$, why is $\operatorname{rk}(A) = \operatorname{rk}(AA^t)$?

How to prove that if $\{v_1,v_2,..,v_n\}$ $n>1$ are solutions to $Ax=b$, $b \neq 0$ then $rank(A)=1$?

can the $rank$ of this matrix ever be 2?

What is the rank of matrix $A\in \mathbb{R}^m\times \mathbb{R}^n$ with entries $a_{i,j} = i + j$?

Can I develop a LQR if the system is NOT controllable but stable?

How to derive this rank equality for block matrices?

Diagonalizable matrix known rank, trace and a vector property

A question about comparison between orthogonal projections

$S:=\{A \in M(3,\mathbb R) : A^TA(e_1)=e_1 ; A^TA(e_2)=A^TA(e_3)=0\}$ ; then does $S$ contain a nilpotent matrix?

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