Question

$A$ is $3 \times 4$-matrix of rank 3. Then the system of equations $Ax=b$ has exactly one solution. True or False?

score 2.9k · Answer 1 · 2015-12-10 13:33:06

2.9k

Views

$A$ is $3 \times 4$-matrix of rank 3. Then the system of equations $Ax=b$ has exactly one solution. True or False?

Published on 10 Dec 2015 - 13:33

score 88 · Answer 2 · 2015-12-11 07:10:41

88

Views

The dimension of the space of solutions of $XY + YX = O$

Published on 11 Dec 2015 - 7:10

score 37 · Answer 3 · 2015-12-11 16:55:10

37

Views

why does $A−λ_iI$ lose rank?

Published on 11 Dec 2015 - 16:55

score 105 · Answer 4 · 2026-03-30 11:57:14

105

Views

Show covariance matrix must have condition number larger than correlation matrix

Published on 30 Mar 2026 - 11:57

score 76 · Answer 5 · 2015-12-11 18:12:15

76

Views

Show that $\operatorname{rank} A = 3$

Published on 11 Dec 2015 - 18:12

score 2.3k · Answer 6 · 2026-02-23 08:54:41

2.3k

Views

Some basic questions regarding rank-$1$ matrices

Published on 23 Feb 2026 - 8:54

score 145 · Answer 7 · 2015-12-13 14:54:50

145

Views

Dealing with "finding what some vector in the codomain is the image of"??

Published on 13 Dec 2015 - 14:54

score 249 · Answer 8 · 2015-12-15 17:29:03

249

Views

If product of matrices $A$ and $B$ is defined, then $\operatorname{rank}(AB)=\operatorname{rank}(BA)$

Published on 15 Dec 2015 - 17:29

score 71 · Answer 9 · 2015-12-16 04:01:03

71

Views

Rank of quadratic matrix form

Published on 16 Dec 2015 - 4:01

score 30 · Answer 10 · 2015-12-21 00:35:20

30

Views

If $Ax=c(x)e, \forall x$, then $A$ has rank one

Published on 21 Dec 2015 - 0:35

score 90 · Answer 11 · 2015-12-21 10:16:52

90

Views

If $A\in\Bbb \{\pm1,0\}^{n\times n}$ is symmetric of rank $<n$, does $A-I$ have rank $n$?

Published on 21 Dec 2015 - 10:16

score 553 · Answer 12 · 2015-12-21 23:07:43

553

Views

Geometric meaning of conjugation

Published on 21 Dec 2015 - 23:07

score 113 · Answer 13 · 2026-03-18 00:43:13

113

Views

$r(X) = r(P_{X}) = \text{tr}(P_X)$

Published on 18 Mar 2026 - 0:43

score 68 · Answer 14 · 2015-12-30 00:06:45

68

Views

Each column has at most $s$ zeros, the matrix has rank $\leq s+1$?

Published on 30 Dec 2015 - 0:06

score 526 · Answer 15 · 2015-12-30 15:48:08

For nonzeros $A,B,C\in M_n(\mathbb{R})$, $ABC=0$. Show $\operatorname{rank}(A)+\operatorname{rank}(B)+\operatorname{rank}(C)\le 2n$

List Question

$A$ is $3 \times 4$-matrix of rank 3. Then the system of equations $Ax=b$ has exactly one solution. True or False?

The dimension of the space of solutions of $XY + YX = O$

why does $A−λ_iI$ lose rank?

Show covariance matrix must have condition number larger than correlation matrix

Show that $\operatorname{rank} A = 3$

Some basic questions regarding rank-$1$ matrices

Dealing with "finding what some vector in the codomain is the image of"??

If product of matrices $A$ and $B$ is defined, then $\operatorname{rank}(AB)=\operatorname{rank}(BA)$

Rank of quadratic matrix form

If $Ax=c(x)e, \forall x$, then $A$ has rank one

If $A\in\Bbb \{\pm1,0\}^{n\times n}$ is symmetric of rank $<n$, does $A-I$ have rank $n$?

Geometric meaning of conjugation

$r(X) = r(P_{X}) = \text{tr}(P_X)$

Each column has at most $s$ zeros, the matrix has rank $\leq s+1$?

For nonzeros $A,B,C\in M_n(\mathbb{R})$, $ABC=0$. Show $\operatorname{rank}(A)+\operatorname{rank}(B)+\operatorname{rank}(C)\le 2n$

Trending Questions

Popular # Hahtags

Popular Questions