Question

Rule of thumb on number of zero entries for invertibility of a $4\times 4 $ matrix?

score 56 · Answer 1 · 2016-05-24 16:32:07

56

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Rule of thumb on number of zero entries for invertibility of a $4\times 4 $ matrix?

Published on 24 May 2016 - 16:32

score 556 · Answer 2 · 2026-03-25 13:34:25

556

Views

Significance of Rank of Matrix

Published on 25 Mar 2026 - 13:34

score 45 · Answer 3 · 2016-05-28 10:23:20

45

Views

On rank of a block matrix.

Published on 28 May 2016 - 10:23

score 3.2k · Answer 4 · 2016-05-29 11:05:41

3.2k

Views

Number of Linearly Dependent Rows/Columns and Number of Zero Eigenvalues

Published on 29 May 2016 - 11:05

score 74 · Answer 5 · 2016-05-30 09:25:21

74

Views

Convexity of a set generated by $A^TA$

Published on 30 May 2016 - 9:25

score 63 · Answer 6 · 2016-06-01 14:50:43

63

Views

Let $A\in\mathbb{R}^{n/2\times n}$ and $B\in\mathbb{R}^{n\times n}$. When does ${\cal N}(AB)\cap {\cal N}(A)=\{0\}$?

Published on 01 Jun 2016 - 14:50

score 2.5k · Answer 7 · 2016-06-03 14:19:49

2.5k

Views

What is the exact relation between a full rank matrix and its determinant?

Published on 03 Jun 2016 - 14:19

score 6.4k · Answer 8 · 2016-06-03 18:07:31

6.4k

Views

What is the rank(AB) and rank(BA)?

Published on 03 Jun 2016 - 18:07

score 8.5k · Answer 9 · 2026-03-27 07:14:24

8.5k

Views

Relation between the dual space, transpose matrices and rank-nullity theorem

Published on 27 Mar 2026 - 7:14

score 99 · Answer 10 · 2016-06-11 16:16:16

99

Views

If $\mathrm{rank}(A)>\mathrm{rank}(B)$ for matrices $A$ and $B$ of size $3$ then $\mathrm{rank}(A^2)\ge \mathrm{rank}(B^2)$

Published on 11 Jun 2016 - 16:16

score 93 · Answer 11 · 2016-06-11 16:30:01

93

Views

General matrix solution for a variant orthogonality condition

Published on 11 Jun 2016 - 16:30

score 1.7k · Answer 12 · 2026-03-30 15:06:52

1.7k

Views

How to calculate top percentage of a dataset?

Published on 30 Mar 2026 - 15:06

score 1.2k · Answer 13 · 2016-06-14 13:43:09

1.2k

Views

Addition of Two positive definite matrices

Published on 14 Jun 2016 - 13:43

score 66 · Answer 14 · 2016-06-14 19:47:09

66

Views

Prove "If $\text{rank } A = k$ with $A\in R^{n\times m},\ \ m>n$, there is a $k\times k$ submatrix with rank $k$"

Published on 14 Jun 2016 - 19:47

score 3.7k · Answer 15 · 2026-03-25 14:07:58

3.7k

Views

LU Decomposition to Compute Rank

Published on 25 Mar 2026 - 14:07

List Question

Rule of thumb on number of zero entries for invertibility of a $4\times 4 $ matrix?

Significance of Rank of Matrix

On rank of a block matrix.

Number of Linearly Dependent Rows/Columns and Number of Zero Eigenvalues

Convexity of a set generated by $A^TA$

Let $A\in\mathbb{R}^{n/2\times n}$ and $B\in\mathbb{R}^{n\times n}$. When does ${\cal N}(AB)\cap {\cal N}(A)=\{0\}$?

What is the exact relation between a full rank matrix and its determinant?

What is the rank(AB) and rank(BA)?

Relation between the dual space, transpose matrices and rank-nullity theorem

If $\mathrm{rank}(A)>\mathrm{rank}(B)$ for matrices $A$ and $B$ of size $3$ then $\mathrm{rank}(A^2)\ge \mathrm{rank}(B^2)$

General matrix solution for a variant orthogonality condition

How to calculate top percentage of a dataset?

Addition of Two positive definite matrices

Prove "If $\text{rank } A = k$ with $A\in R^{n\times m},\ \ m>n$, there is a $k\times k$ submatrix with rank $k$"

LU Decomposition to Compute Rank

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