Question

rank of a matrix based on rank of its submatrices

score 53 · Answer 1 · 2017-03-02 19:40:31

53

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rank of a matrix based on rank of its submatrices

Published on 02 Mar 2017 - 19:40

score 107 · Answer 2 · 2017-03-02 18:34:00

107

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When is the rank of $X'WX$ equal to rank of $X$?

Published on 02 Mar 2017 - 18:34

score 123 · Answer 3 · 2026-03-26 06:28:30

123

Views

Rank of a special matrix

Published on 26 Mar 2026 - 6:28

score 717 · Answer 4 · 2017-03-03 12:14:04

717

Views

Find a basis for the null space of a linear transformation T when we are given the spanning set of the range of T

Published on 03 Mar 2017 - 12:14

score 235 · Answer 5 · 2017-03-05 18:13:32

235

Views

How can the row rank and column rank be equal here?

Published on 05 Mar 2017 - 18:13

score 112 · Answer 6 · 2017-03-09 19:55:09

112

Views

Proof for a rank

Published on 09 Mar 2017 - 19:55

score 1.5k · Answer 7 · 2017-03-10 03:03:20

1.5k

Views

Pivot columns and basis for column space

Published on 10 Mar 2017 - 3:03

score 423 · Answer 8 · 2026-03-30 01:48:05

423

Views

Rank of the $n \times n$ matrix with ones on the main diagonal and $a$ off the main diagonal

Published on 30 Mar 2026 - 1:48

score 1.2k · Answer 9 · 2017-03-12 06:20:43

1.2k

Views

For a square matrix $A$ presence of $n$ linearly independent eigenvectors implies full rank, thereby invertible?

Published on 12 Mar 2017 - 6:20

score 690 · Answer 10 · 2017-03-13 06:40:53

690

Views

Submatrix formed from independent rows and columns

Published on 13 Mar 2017 - 6:40

score 122 · Answer 11 · 2026-03-27 01:46:11

122

Views

Generator of dual lattice.

Published on 27 Mar 2026 - 1:46

score 144 · Answer 12 · 2017-03-17 06:22:26

144

Views

Matrices problem with determinant and rank

Published on 17 Mar 2017 - 6:22

score 3.2k · Answer 13 · 2017-03-18 16:31:54

3.2k

Views

If $A$ is an $m \times n$ matrix, prove that $Ax=0$ has an unique solution $iff$ $\text{rank}(A)=n$

Published on 18 Mar 2017 - 16:31

score 5.6k · Answer 14 · 2017-03-18 18:57:20

5.6k

Views

If $A$ is an $m \times n$ matrix, prove that $Ax=0$ has infinite solutions $\iff$ $\text{rank}(A)<n$

Published on 18 Mar 2017 - 18:57

score 13 · Answer 15 · 2017-03-20 20:00:01

13

Views

Proof required to prove that a certain matrix combination is an identity matrix

Published on 20 Mar 2017 - 20:00

List Question

rank of a matrix based on rank of its submatrices

When is the rank of $X'WX$ equal to rank of $X$?

Rank of a special matrix

Find a basis for the null space of a linear transformation T when we are given the spanning set of the range of T

How can the row rank and column rank be equal here?

Proof for a rank

Pivot columns and basis for column space

Rank of the $n \times n$ matrix with ones on the main diagonal and $a$ off the main diagonal

For a square matrix $A$ presence of $n$ linearly independent eigenvectors implies full rank, thereby invertible?

Submatrix formed from independent rows and columns

Generator of dual lattice.

Matrices problem with determinant and rank

If $A$ is an $m \times n$ matrix, prove that $Ax=0$ has an unique solution $iff$ $\text{rank}(A)=n$

If $A$ is an $m \times n$ matrix, prove that $Ax=0$ has infinite solutions $\iff$ $\text{rank}(A)<n$

Proof required to prove that a certain matrix combination is an identity matrix

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