Question

Prove that $B=\{(1,1,4), (1,1,3), (1,-1,2)\}$ is a basis of vector space $\Bbb R^{3}$.

score 580 · Answer 1 · 2026-04-17 09:04:34

580

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Prove that $B=\{(1,1,4), (1,1,3), (1,-1,2)\}$ is a basis of vector space $\Bbb R^{3}$.

Published on 17 Apr 2026 - 9:04

score 588 · Answer 2 · 2026-04-13 06:31:45

588

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Can linearly dependent vectors span a complete set of vector space?

Published on 13 Apr 2026 - 6:31

score 132 · Answer 3 · 2026-04-13 14:39:58

132

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Inner Product in Cauchy's Inequality

Published on 13 Apr 2026 - 14:39

score 211 · Answer 4 · 2026-04-16 12:30:51

211

Views

Given the linearly independent set $\{a_1,a_2,...,a_k\}$ prove that $\{b,a_1,a_2,...,a_k\}$ is also linearly independent.

Published on 16 Apr 2026 - 12:30

score 107 · Answer 5 · 2026-04-12 17:01:14

107

Views

What does a "boundary condition" mean in this vector question?

Published on 12 Apr 2026 - 17:01

score 1.7k · Answer 6 · 2026-04-13 22:02:03

1.7k

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Show that the following functions are linearly independent.

Published on 13 Apr 2026 - 22:02

score 46 · Answer 7 · 2026-04-16 09:54:13

46

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Find all $\lambda \in\Bbb R$ such that $\vec{a},\vec{b},\vec{c}$ don't span $V^{3}(0)$.

Published on 16 Apr 2026 - 9:54

score 64 · Answer 8 · 2026-04-12 22:39:05

64

Views

question about linear dependent vectors

Published on 12 Apr 2026 - 22:39

score 120 · Answer 9 · 2026-04-15 00:43:03

120

Views

Closed-form solution of non-autonomous vector recurrence relation

Published on 15 Apr 2026 - 0:43

score 86 · Answer 10 · 2026-04-17 03:29:48

86

Views

About the triple product $\vec{A}\circ(\vec{B}\times\vec{C})$ or $\vec{\nabla}\circ(\vec{U}\times\vec{V})$

Published on 17 Apr 2026 - 3:29

score 585 · Answer 11 · 2026-04-13 18:19:45

585

Views

Vector Exam problem

Published on 13 Apr 2026 - 18:19

score 2.4k · Answer 12 · 2026-04-11 02:36:37

2.4k

Views

Proving the distance between a point and a line formula using vectors

Published on 11 Apr 2026 - 2:36

score 29 · Answer 13 · 2026-04-12 18:54:48

29

Views

Vectors and shapes

Published on 12 Apr 2026 - 18:54

score 118 · Answer 14 · 2026-04-12 07:51:10

118

Views

In fisher linear descriminant, how to maximize J(w) when taking its derivative with respective to w

Published on 12 Apr 2026 - 7:51

score 346 · Answer 15 · 2026-04-16 21:13:30

346

Views

Find the basis and dimension of $M=\{(x_1,x_2,x_3,x_4) \in \Bbb R^{4}: x_1-x_3-2x_4=0, x_1+x_2-2x_3=2x_4\}$.

Published on 16 Apr 2026 - 21:13

List Question

Prove that $B=\{(1,1,4), (1,1,3), (1,-1,2)\}$ is a basis of vector space $\Bbb R^{3}$.

Can linearly dependent vectors span a complete set of vector space?

Inner Product in Cauchy's Inequality

Given the linearly independent set $\{a_1,a_2,...,a_k\}$ prove that $\{b,a_1,a_2,...,a_k\}$ is also linearly independent.

What does a "boundary condition" mean in this vector question?

Show that the following functions are linearly independent.

Find all $\lambda \in\Bbb R$ such that $\vec{a},\vec{b},\vec{c}$ don't span $V^{3}(0)$.

question about linear dependent vectors

Closed-form solution of non-autonomous vector recurrence relation

About the triple product $\vec{A}\circ(\vec{B}\times\vec{C})$ or $\vec{\nabla}\circ(\vec{U}\times\vec{V})$

Vector Exam problem

Proving the distance between a point and a line formula using vectors

Vectors and shapes

In fisher linear descriminant, how to maximize J(w) when taking its derivative with respective to w

Find the basis and dimension of $M=\{(x_1,x_2,x_3,x_4) \in \Bbb R^{4}: x_1-x_3-2x_4=0, x_1+x_2-2x_3=2x_4\}$.

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