Question

How to form a genral matrix $n \times k, k \leq n$ such that any $k$ rows are linearly independent?

score 60 · Answer 1 · 2018-02-08 18:56:17

60

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How to form a genral matrix $n \times k, k \leq n$ such that any $k$ rows are linearly independent?

Published on 08 Feb 2018 - 18:56

score 168 · Answer 2 · 2018-02-08 19:24:14

168

Views

For a class of matrices $M_{2n}$: $\dim(\ker(M_{2n}))$ is zero if $n$ is even and 2 if $n$ is odd

Published on 08 Feb 2018 - 19:24

score 1.6k · Answer 3 · 2018-02-08 20:16:33

1.6k

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If $A$ is $m\times n$ matrix and $AA^T$ is non singular show that $\text{rank}(A) = m$

Published on 08 Feb 2018 - 20:16

score 115 · Answer 4 · 2018-02-08 20:26:45

115

Views

Is there a name for $\max \| A x \|$ for all $\|x\|=1?$

Published on 08 Feb 2018 - 20:26

score 225 · Answer 5 · 2026-03-26 16:10:34

225

Views

Proving distance preserving map is affine linear

Published on 26 Mar 2026 - 16:10

score 23 · Answer 6 · 2018-02-08 22:30:36

23

Views

linear independence in a function

Published on 08 Feb 2018 - 22:30

score 160 · Answer 7 · 2026-03-25 14:23:46

160

Views

Find a nonnegative vector orthogonal to a set of vectors

Published on 25 Mar 2026 - 14:23

score 113 · Answer 8 · 2026-03-27 04:00:26

113

Views

Minimal Polynomial and Jordan Basis

Published on 27 Mar 2026 - 4:00

score 127 · Answer 9 · 2026-03-20 06:14:50

127

Views

Correlation Coefficients in Simple Linear Regression Model

Published on 20 Mar 2026 - 6:14

score 53 · Answer 10 · 2026-03-25 19:10:31

Is $\begin{bmatrix}2 & 3 & 0\end{bmatrix}$ in the span of $v_2 = \begin{bmatrix} 1 & 0 \end{bmatrix}$ and $v_3 = \begin{bmatrix} 0 & 1 \end{bmatrix}$

score 73 · Answer 11 · 2018-02-09 03:21:28

73

Views

Confusion in proof of a lemma.

Published on 09 Feb 2018 - 3:21

score 38 · Answer 12 · 2018-02-09 03:41:39

38

Views

Expressing a vector as a linear combination in $\mathbb{R}^4$

Published on 09 Feb 2018 - 3:41

score 85 · Answer 13 · 2026-03-26 14:29:27

85

Views

Geometric Intuition for the Existence of Eigenvectors

Published on 26 Mar 2026 - 14:29

score 178 · Answer 14 · 2026-03-26 20:44:12

178

Views

How to express in linear algebra notation the operation of scaling a matrix by each element of a vector?

Published on 26 Mar 2026 - 20:44

score 53 · Answer 15 · 2018-02-09 11:48:06

53

Views

Simultaneous dot product

Published on 09 Feb 2018 - 11:48

List Question

How to form a genral matrix $n \times k, k \leq n$ such that any $k$ rows are linearly independent?

For a class of matrices $M_{2n}$: $\dim(\ker(M_{2n}))$ is zero if $n$ is even and 2 if $n$ is odd

If $A$ is $m\times n$ matrix and $AA^T$ is non singular show that $\text{rank}(A) = m$

Is there a name for $\max \| A x \|$ for all $\|x\|=1?$

Proving distance preserving map is affine linear

linear independence in a function

Find a nonnegative vector orthogonal to a set of vectors

Minimal Polynomial and Jordan Basis

Correlation Coefficients in Simple Linear Regression Model

Is $\begin{bmatrix}2 & 3 & 0\end{bmatrix}$ in the span of $v_2 = \begin{bmatrix} 1 & 0 \end{bmatrix}$ and $v_3 = \begin{bmatrix} 0 & 1 \end{bmatrix}$

Confusion in proof of a lemma.

Expressing a vector as a linear combination in $\mathbb{R}^4$

Geometric Intuition for the Existence of Eigenvectors

How to express in linear algebra notation the operation of scaling a matrix by each element of a vector?

Simultaneous dot product

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