Question

A smooth plane is: $x_1+x_2+x_3=3$. A light ray hits the plane along the direction $(−1,−1,0)$. What's the normalized direction of the reflection.

score 40 · Answer 1 · 2018-04-10 01:15:07

A smooth plane is: $x_1+x_2+x_3=3$. A light ray hits the plane along the direction $(−1,−1,0)$. What's the normalized direction of the reflection.

score 244 · Answer 2 · 2026-04-13 01:45:24

244

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Determining whether the given solutions are a basis

Published on 13 Apr 2026 - 1:45

score 782 · Answer 3 · 2026-03-25 01:17:34

782

Views

$A$ is positive definite iff there exists a nonsingular $C$ s.t. $C^*AC$ is positive definite

Published on 25 Mar 2026 - 1:17

score 99 · Answer 4 · 2026-04-08 12:53:15

how to prove for any linear transformation form $R_n$ to$R_m$ ,there is an orthonormal basis such that $T(u_i)*T(u_j) = 0$ if $i \neq j$

score 1.3k · Answer 5 · 2026-04-12 21:58:59

1.3k

Views

Number of Solutions to a system of linear equations over a finite field

Published on 12 Apr 2026 - 21:58

score 48 · Answer 6 · 2026-04-08 12:57:21

48

Views

A real symmetric matrix decomposed by diagonal entries

Published on 08 Apr 2026 - 12:57

score 393 · Answer 7 · 2026-04-11 19:27:49

393

Views

Calculate Adjoint of an operator with a non-standard inner product.

Published on 11 Apr 2026 - 19:27

score 299 · Answer 8 · 2026-04-09 05:22:58

299

Views

Controllability of parallel systems

Published on 09 Apr 2026 - 5:22

score 41 · Answer 9 · 2018-04-10 08:22:24

41

Views

What's the precise/exact definition of an inconsistent system of linear equations (including the source)

Published on 10 Apr 2018 - 8:22

score 1.1k · Answer 10 · 2026-04-10 21:38:18

1.1k

Views

Invertibility in Markov processes

Published on 10 Apr 2026 - 21:38

score 733 · Answer 11 · 2026-04-10 13:04:50

733

Views

Properties of $A^TA$ transformation

Published on 10 Apr 2026 - 13:04

score 132 · Answer 12 · 2018-04-10 10:50:23

132

Views

Prove $A\in M(3\times 3, \mathbb{R})$ is real upper-triangular or complex-diagonal w/out Jordan form

Published on 10 Apr 2018 - 10:50

score 29 · Answer 13 · 2026-03-26 02:51:18

29

Views

Linear functions - Input ordering implies output ordering

Published on 26 Mar 2026 - 2:51

score 131 · Answer 14 · 2026-04-13 04:11:15

131

Views

Invertible and bijective on the context of linear algebra and general one.

Published on 13 Apr 2026 - 4:11

score 1.1k · Answer 15 · 2026-04-06 21:36:51

1.1k

Views

Find shape function for finite element

Published on 06 Apr 2026 - 21:36

List Question

A smooth plane is: $x_1+x_2+x_3=3$. A light ray hits the plane along the direction $(−1,−1,0)$. What's the normalized direction of the reflection.

Determining whether the given solutions are a basis

$A$ is positive definite iff there exists a nonsingular $C$ s.t. $C^*AC$ is positive definite

how to prove for any linear transformation form $R_n$ to$R_m$ ,there is an orthonormal basis such that $T(u_i)*T(u_j) = 0$ if $i \neq j$

Number of Solutions to a system of linear equations over a finite field

A real symmetric matrix decomposed by diagonal entries

Calculate Adjoint of an operator with a non-standard inner product.

Controllability of parallel systems

What's the precise/exact definition of an inconsistent system of linear equations (including the source)

Invertibility in Markov processes

Properties of $A^TA$ transformation

Prove $A\in M(3\times 3, \mathbb{R})$ is real upper-triangular or complex-diagonal w/out Jordan form

Linear functions - Input ordering implies output ordering

Invertible and bijective on the context of linear algebra and general one.

Find shape function for finite element

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