Question

Determine the matrix $B$ such that the following equation $L$ is a linear transformation from $R^{n \times n}$ to $R^{n \times n}$

score 29 · Answer 1 · 2026-03-25 14:25:19

29

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Determine the matrix $B$ such that the following equation $L$ is a linear transformation from $R^{n \times n}$ to $R^{n \times n}$

Published on 25 Mar 2026 - 14:25

score 60 · Answer 2 · 2026-04-16 09:32:34

60

Views

Show that every vector $b\in \mathbb{R}^3$ lies in $span \left((1,2,3),(-1,-1,0),(2,1,-1)\right)$

Published on 16 Apr 2026 - 9:32

score 77 · Answer 3 · 2026-05-10 16:56:38

77

Views

Why this written $\vec{v} \binom{x}{y}= \binom{2}{3}$ is not true in mathematics?

Published on 10 May 2026 - 16:56

score 119 · Answer 4 · 2026-04-17 10:55:16

119

Views

If $\text{tr}(M^3)=\text{tr}(M^2)=\text{tr}(M)=1$ then $M=\mathbf{uu}^\dagger$ for some unit vector $\mathbf{u}$

Published on 17 Apr 2026 - 10:55

score 184 · Answer 5 · 2026-04-12 02:42:03

184

Views

Proof for basis and subspace

Published on 12 Apr 2026 - 2:42

score 91 · Answer 6 · 2026-03-25 14:22:42

91

Views

existence of continuous non-$1$-homogeneous additive mappings

Published on 25 Mar 2026 - 14:22

score 1.8k · Answer 7 · 2026-05-10 12:38:13

1.8k

Views

Dimension of vector space generated by finite field over its subfield

Published on 10 May 2026 - 12:38

score 487 · Answer 8 · 2026-04-14 03:10:08

Let $\{v_1,v_2,\ldots,v_n\}$ a linear independent set of vectors, and let $w \in\langle v_1,v_2,\ldots,v_n\rangle$, prove linear independence

score 42 · Answer 9 · 2026-04-16 06:20:53

42

Views

$\vec{u}$,$\vec{v}$,$\vec{w} \in \mathbb{C}^{2017}$ are linearly independent

Published on 16 Apr 2026 - 6:20

score 988 · Answer 10 · 2026-05-10 16:11:12

988

Views

Finite dimensional associative division algebras over Q

Published on 10 May 2026 - 16:11

score 340 · Answer 11 · 2026-04-16 22:03:39

340

Views

Prove that one span is equal to another

Published on 16 Apr 2026 - 22:03

score 22.4k · Answer 12 · 2026-04-11 10:35:40

22.4k

Views

Does zero curl imply a conservative field?

Published on 11 Apr 2026 - 10:35

score 340 · Answer 13 · 2026-05-10 18:03:58

340

Views

Derivation of reciprocal vectors

Published on 10 May 2026 - 18:03

score 336 · Answer 14 · 2026-05-10 18:30:42

336

Views

For a NVS $X$ and a closed proper subspace $Y\subset X$, show that $\forall\,\epsilon\gt0,\,\exists \,x\in X:\|x\|=1,d(x,Y)\ge1-\epsilon.$

Published on 10 May 2026 - 18:30

score 26 · Answer 15 · 2026-04-17 09:32:04

26

Views

Let A subset W of $P^3$ defined by $W=\{p(x) \in P^3/\int ^3_1 p(x)=0\}$

Published on 17 Apr 2026 - 9:32

List Question

Determine the matrix $B$ such that the following equation $L$ is a linear transformation from $R^{n \times n}$ to $R^{n \times n}$

Show that every vector $b\in \mathbb{R}^3$ lies in $span \left((1,2,3),(-1,-1,0),(2,1,-1)\right)$

Why this written $\vec{v} \binom{x}{y}= \binom{2}{3}$ is not true in mathematics?

If $\text{tr}(M^3)=\text{tr}(M^2)=\text{tr}(M)=1$ then $M=\mathbf{uu}^\dagger$ for some unit vector $\mathbf{u}$

Proof for basis and subspace

existence of continuous non-$1$-homogeneous additive mappings

Dimension of vector space generated by finite field over its subfield

Let $\{v_1,v_2,\ldots,v_n\}$ a linear independent set of vectors, and let $w \in\langle v_1,v_2,\ldots,v_n\rangle$, prove linear independence

$\vec{u}$,$\vec{v}$,$\vec{w} \in \mathbb{C}^{2017}$ are linearly independent

Finite dimensional associative division algebras over Q

Prove that one span is equal to another

Does zero curl imply a conservative field?

Derivation of reciprocal vectors

For a NVS $X$ and a closed proper subspace $Y\subset X$, show that $\forall\,\epsilon\gt0,\,\exists \,x\in X:\|x\|=1,d(x,Y)\ge1-\epsilon.$

Let A subset W of $P^3$ defined by $W=\{p(x) \in P^3/\int ^3_1 p(x)=0\}$

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