List questions from matrix-rank

Published on 12 Aug 2014 - 3:35

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Eigenvalues of a matrix that is a product of a vector and transpose vector

Published on 15 Aug 2014 - 16:29

154

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What is the reduced row echelon form of $A$?

Published on 25 Mar 2026 - 23:38

303

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Is $\mathbf {B^TAB}$ non-singular for a non-singular $\mathbf A$, and $\mathbf {B}$ with full column-rank?

Published on 18 Aug 2014 - 12:41

881

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Rank of the product of 3 matrices

Published on 20 Aug 2014 - 21:19

1.6k

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Minimum vector sets span spaces cover problem

Published on 25 Mar 2026 - 17:28

76

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Proving result on matrix rank

Published on 23 Aug 2014 - 12:17

150

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Proof concerning matrix composition.

Published on 24 Aug 2014 - 18:26

143

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Show that every row of matrix $S$ is a linear combination of its bottom row and the row (1 1 1 1 1 1 )

Published on 28 Aug 2014 - 5:02

137

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Rank of $I_m - X_{m \times m}$ given rank of $X$

Published on 07 Sep 2014 - 20:27

195

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A is a $2 \times 2$ matrix. Show that there exist $2 \times 2$ matrices with certain rank requirements.

Published on 11 Sep 2014 - 7:01

615

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What are the conditions should be added so that submatrix has full rank

Published on 11 Sep 2014 - 8:57

164

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Rank of any submatrix of a Cauchy matrix

Published on 25 Mar 2026 - 2:48

171

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A special case: determinant of a $n\times n$ matrix

Published on 16 Sep 2014 - 13:23

54

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Eigenvalues and Determinants of Two Matricies

Published on 21 Sep 2014 - 3:23

List Question

"Rank-K Correction" of a matrix and significance?

Eigenvalues of a matrix that is a product of a vector and transpose vector

What is the reduced row echelon form of $A$?

Is $\mathbf {B^TAB}$ non-singular for a non-singular $\mathbf A$, and $\mathbf {B}$ with full column-rank?

Rank of the product of 3 matrices

Minimum vector sets span spaces cover problem

Proving result on matrix rank

Proof concerning matrix composition.

Show that every row of matrix $S$ is a linear combination of its bottom row and the row (1 1 1 1 1 1 )

Rank of $I_m - X_{m \times m}$ given rank of $X$

A is a $2 \times 2$ matrix. Show that there exist $2 \times 2$ matrices with certain rank requirements.

What are the conditions should be added so that submatrix has full rank

Rank of any submatrix of a Cauchy matrix

A special case: determinant of a $n\times n$ matrix

Eigenvalues and Determinants of Two Matricies

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