Question

Find the rank of the matrix $A=\begin{pmatrix} 2 & 3 & -1 & 1\\ 3 & 0 & 4 & 2\\ 6 & 9 & -3 & 3 \end{pmatrix}$.

score 342 · Answer 1 · 2022-12-27 12:15:32

342

Views

Find the rank of the matrix $A=\begin{pmatrix} 2 & 3 & -1 & 1\\ 3 & 0 & 4 & 2\\ 6 & 9 & -3 & 3 \end{pmatrix}$.

Published on 27 Dec 2022 - 12:15

score 190 · Answer 2 · 2022-12-30 04:20:02

190

Views

We take $1,2,\dots,n^{2}$ to form an $n\times n$ matrix, then what is the range of rank of the set of matrices that are formed in this way?

Published on 30 Dec 2022 - 4:20

score 27 · Answer 3 · 2026-04-06 16:13:32

27

Views

A question concerning real quadratic forms- linear algebra

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score 34 · Answer 4 · 2026-04-04 03:55:32

34

Views

How to find the eingenvalues of matrix $M$ with $\text{rank}(M)\leqslant1\;?$

Published on 04 Apr 2026 - 3:55

score 104 · Answer 5 · 2026-03-25 17:40:35

104

Views

Fast approximation minimizing the nuclear norm of weighed sum of matrices

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score 68 · Answer 6 · 2023-01-05 14:23:50

68

Views

Rank of product of matrices consisting of orthonormal column vectors

Published on 05 Jan 2023 - 14:23

score 72 · Answer 7 · 2023-01-05 19:19:31

72

Views

Continuity of the thin QR factorization.

Published on 05 Jan 2023 - 19:19

score 43 · Answer 8 · 2026-04-02 10:11:00

43

Views

Geometrically, why do we need independent columns in a matrix $A$ when computing the projection matrix onto the column space of $A$?

Published on 02 Apr 2026 - 10:11

score 61 · Answer 9 · 2023-01-06 02:40:20

61

Views

Local continuous choice of basis for $\text{col}(A)^\perp$

Published on 06 Jan 2023 - 2:40

score 105 · Answer 10 · 2023-01-07 07:53:07

105

Views

A quick way to find the nullity of $B^T A$ when one of the matrices is of big size

Published on 07 Jan 2023 - 7:53

score 102 · Answer 11 · 2023-01-08 03:34:09

102

Views

Columns and rows are independent $\implies$ minor is invertible

Published on 08 Jan 2023 - 3:34

score 36 · Answer 12 · 2026-04-03 03:00:38

36

Views

How do you determine the rank of the differential of an immersion?

Published on 03 Apr 2026 - 3:00

score 48 · Answer 13 · 2023-01-11 05:43:42

48

Views

rank of a regression-like model

Published on 11 Jan 2023 - 5:43

score 50 · Answer 14 · 2023-01-15 12:38:29

50

Views

Linear Algebra-Linear Operator

Published on 15 Jan 2023 - 12:38

score 33 · Answer 15 · 2026-03-31 14:21:46

33

Views

the uniqueness of the decomposition of a rank 1 PSD matrix into the product to two vectors

Published on 31 Mar 2026 - 14:21

List Question

Find the rank of the matrix $A=\begin{pmatrix} 2 & 3 & -1 & 1\\ 3 & 0 & 4 & 2\\ 6 & 9 & -3 & 3 \end{pmatrix}$.

We take $1,2,\dots,n^{2}$ to form an $n\times n$ matrix, then what is the range of rank of the set of matrices that are formed in this way?

A question concerning real quadratic forms- linear algebra

How to find the eingenvalues of matrix $M$ with $\text{rank}(M)\leqslant1\;?$

Fast approximation minimizing the nuclear norm of weighed sum of matrices

Rank of product of matrices consisting of orthonormal column vectors

Continuity of the thin QR factorization.

Geometrically, why do we need independent columns in a matrix $A$ when computing the projection matrix onto the column space of $A$?

Local continuous choice of basis for $\text{col}(A)^\perp$

A quick way to find the nullity of $B^T A$ when one of the matrices is of big size

Columns and rows are independent $\implies$ minor is invertible

How do you determine the rank of the differential of an immersion?

rank of a regression-like model

Linear Algebra-Linear Operator

the uniqueness of the decomposition of a rank 1 PSD matrix into the product to two vectors

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