Question

Find the necessary and sufficient conditions on $A$ such that $\|T(\vec{x})\|=|\det A|\cdot\|\vec{x}\|$ for all $\vec{x}$.

score 257 · Answer 1 · 2026-04-16 08:37:28

257

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Find the necessary and sufficient conditions on $A$ such that $\|T(\vec{x})\|=|\det A|\cdot\|\vec{x}\|$ for all $\vec{x}$.

Published on 16 Apr 2026 - 8:37

score 515 · Answer 2 · 2026-04-15 10:41:42

515

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eigen value of the gradient operator

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score 1k · Answer 3 · 2026-04-12 02:24:45

1k

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Published on 12 Apr 2026 - 2:24

score 146 · Answer 4 · 2026-04-15 10:35:35

146

Views

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score 355 · Answer 5 · 2026-04-11 14:54:59

355

Views

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Published on 11 Apr 2026 - 14:54

score 749 · Answer 6 · 2026-04-14 21:08:11

749

Views

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Published on 14 Apr 2026 - 21:08

score 4.2k · Answer 7 · 2026-04-09 18:19:24

4.2k

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Published on 09 Apr 2026 - 18:19

score 62 · Answer 8 · 2026-04-16 20:40:14

62

Views

Calculate the potential of $\left(\frac{-2xy}{(x^2+y^2)^2}, \frac{x^2-y^2}{(x^2+y^2)^2}\right)$

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score 37.1k · Answer 9 · 2026-04-16 04:30:07

37.1k

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score 1.1k · Answer 10 · 2026-04-10 05:26:58

1.1k

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score 5.8k · Answer 11 · 2026-04-12 08:27:41

5.8k

Views

How to separate the square of a vector dot product into a product of functions of individual vectors?

Published on 12 Apr 2026 - 8:27

score 1.3k · Answer 12 · 2026-04-28 21:30:29

1.3k

Views

Vector field with bounded integral curves

Published on 28 Apr 2026 - 21:30

score 65 · Answer 13 · 2026-04-15 19:57:32

65

Views

To show the inequality $\|A\|\geq\max\{\|u_1\|,\ldots,\|u_q\|,\|\vec{v_1}\|,\ldots,\|\vec{v_q}\|\}$

Published on 15 Apr 2026 - 19:57

score 12.8k · Answer 14 · 2026-04-15 05:32:21

12.8k

Views

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Published on 15 Apr 2026 - 5:32

score 116 · Answer 15 · 2026-04-13 04:12:03

116

Views

Prove that derivative is tangent to a set

Published on 13 Apr 2026 - 4:12

List Question

Find the necessary and sufficient conditions on $A$ such that $\|T(\vec{x})\|=|\det A|\cdot\|\vec{x}\|$ for all $\vec{x}$.

eigen value of the gradient operator

How is "area" a vector?

Divergence of a vector field

Flat Connection in $\mathbb{R}^n$

Divergence of this field, spherical coordinates

Cosine similarity between complex vectors

Calculate the potential of $\left(\frac{-2xy}{(x^2+y^2)^2}, \frac{x^2-y^2}{(x^2+y^2)^2}\right)$

Proof of vector calculus identities

Proof of the Laplace-Beltrami operator

How to separate the square of a vector dot product into a product of functions of individual vectors?

Vector field with bounded integral curves

To show the inequality $\|A\|\geq\max\{\|u_1\|,\ldots,\|u_q\|,\|\vec{v_1}\|,\ldots,\|\vec{v_q}\|\}$

Geometric intuition behind gradient, divergence and curl

Prove that derivative is tangent to a set

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