List questions from matrix-rank

Published on 06 Feb 2017 - 2:06

30

Views

Can $WD=I_2$ for these matrices?

Published on 06 Feb 2017 - 20:24

1.2k

Views

True or False: If $A^2=0$ for a 10x10 matrix $A$, then rank($A$) $\le 5$

Published on 07 Feb 2017 - 9:25

57

Views

If $A$ is an $m$ by $n$ matrix, show that there is an $n$ by $n$ nonzero matrix $B$ such that $AB=0$ iff rank($A$) < $n$

Published on 07 Feb 2017 - 11:28

2.8k

Views

Proving that if $A$ is an $m\times n$ matrix and has rank equal to $m$ then $A$ has a right inverse.

Published on 08 Feb 2017 - 3:25

142

Views

The power of matrix $A$

Published on 08 Feb 2017 - 15:50

97

Views

Question about rank of matrices and existence

Published on 09 Feb 2017 - 12:55

20.5k

Views

Find a matrix with a given null space

Published on 11 Feb 2017 - 3:10

93

Views

What is the rank of a linear transformation space? $L(V,W)$

Published on 12 Feb 2017 - 5:54

119

Views

Determinant-preserving mapping

Published on 12 Feb 2017 - 10:12

2k

Views

If $A$ is a diagonalizable matrix then rank($A$)=rank($A^2$)

Published on 16 Feb 2017 - 17:29

407

Views

Linear Transformations, Null Spaces, and Ranges

Published on 16 Feb 2017 - 19:32

276

Views

Enforcing matrix rank $n-2$: how many equations needed?

Published on 17 Feb 2017 - 21:04

35

Views

rank of matrices 3

Published on 21 Feb 2017 - 1:03

155

Views

Maximize rank of Gramian kernel matrix

Published on 29 Mar 2026 - 15:03

List Question

Rank of Block Matrices

Can $WD=I_2$ for these matrices?

True or False: If $A^2=0$ for a 10x10 matrix $A$, then rank($A$) $\le 5$

If $A$ is an $m$ by $n$ matrix, show that there is an $n$ by $n$ nonzero matrix $B$ such that $AB=0$ iff rank($A$) < $n$

Proving that if $A$ is an $m\times n$ matrix and has rank equal to $m$ then $A$ has a right inverse.

The power of matrix $A$

Question about rank of matrices and existence

Find a matrix with a given null space

What is the rank of a linear transformation space? $L(V,W)$

Determinant-preserving mapping

If $A$ is a diagonalizable matrix then rank($A$)=rank($A^2$)

Linear Transformations, Null Spaces, and Ranges

Enforcing matrix rank $n-2$: how many equations needed?

rank of matrices 3

Maximize rank of Gramian kernel matrix

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