Question

Linear Independence in polynomial space.

score 124 · Answer 1 · 2026-04-10 13:05:15

124

Views

Linear Independence in polynomial space.

Published on 10 Apr 2026 - 13:05

score 56 · Answer 2 · 2026-04-09 20:07:39

56

Views

Recover ordinary eigenvector from generalized eigenvector

Published on 09 Apr 2026 - 20:07

score 318 · Answer 3 · 2026-03-24 20:32:10

318

Views

Find necessary and sufficient conditions on $a,b,c$ such that the matrix $\begin{bmatrix}a & b\\b & c\end{bmatrix}$ has a factorization $LL^{T}$

Published on 24 Mar 2026 - 20:32

score 167 · Answer 4 · 2026-04-12 19:43:37

167

Views

$\lim_{k\to \infty} A^k v=0$ with dominant eigenvalue $1$ and generalized eigenvector

Published on 12 Apr 2026 - 19:43

score 147 · Answer 5 · 2026-03-27 19:31:39

147

Views

Finding points on a line that are closest

Published on 27 Mar 2026 - 19:31

score 763 · Answer 6 · 2026-04-10 20:55:00

763

Views

What are the relations between geometric multiplicity and algebraic multiplicity, concerning diagonalizability?

Published on 10 Apr 2026 - 20:55

score 64 · Answer 7 · 2026-04-07 02:14:59

64

Views

Proof involving linear transformations

Published on 07 Apr 2026 - 2:14

score 5.2k · Answer 8 · 2026-04-06 16:47:00

5.2k

Views

Let $A$ be an invertible matrix. Find a singular value decomposition for $A^*$ and $A^{-1}$.

Published on 06 Apr 2026 - 16:47

score 197 · Answer 9 · 2026-04-12 20:55:58

197

Views

If two functions are linearly dependent on an interval then prove that their wronskian is identically zero on that interval.

Published on 12 Apr 2026 - 20:55

score 34 · Answer 10 · 2026-04-13 22:03:04

34

Views

Determine whether the list in k^4 is linearly independent.

Published on 13 Apr 2026 - 22:03

score 747 · Answer 11 · 2026-04-13 09:17:11

747

Views

Determine whether a set is a vector space, problem with axioms 4 & 5

Published on 13 Apr 2026 - 9:17

score 517 · Answer 12 · 2026-04-13 17:52:47

517

Views

Show that $U^\perp=\{0\}$.

Published on 13 Apr 2026 - 17:52

score 525 · Answer 13 · 2026-03-25 01:40:05

525

Views

Why doesn't the matrix $\begin{pmatrix} 10 & -20 & -20 \\ -20 & 40 & 40 \\ -20 & 40 & 40 \end{pmatrix}$ have an orthogonal set of eigenvectors?

Published on 25 Mar 2026 - 1:40

score 2.3k · Answer 14 · 2026-04-10 17:32:30

2.3k

Views

How to prove $f(x)=a$ is a subspace

Published on 10 Apr 2026 - 17:32

score 1.2k · Answer 15 · 2026-04-09 20:08:26

1.2k

Views

Reflection is a linear transformation

Published on 09 Apr 2026 - 20:08

List Question

Linear Independence in polynomial space.

Recover ordinary eigenvector from generalized eigenvector

Find necessary and sufficient conditions on $a,b,c$ such that the matrix $\begin{bmatrix}a & b\\b & c\end{bmatrix}$ has a factorization $LL^{T}$

$\lim_{k\to \infty} A^k v=0$ with dominant eigenvalue $1$ and generalized eigenvector

Finding points on a line that are closest

What are the relations between geometric multiplicity and algebraic multiplicity, concerning diagonalizability?

Proof involving linear transformations

Let $A$ be an invertible matrix. Find a singular value decomposition for $A^*$ and $A^{-1}$.

If two functions are linearly dependent on an interval then prove that their wronskian is identically zero on that interval.

Determine whether the list in k^4 is linearly independent.

Determine whether a set is a vector space, problem with axioms 4 & 5

Show that $U^\perp=\{0\}$.

Why doesn't the matrix $\begin{pmatrix} 10 & -20 & -20 \\ -20 & 40 & 40 \\ -20 & 40 & 40 \end{pmatrix}$ have an orthogonal set of eigenvectors?

How to prove $f(x)=a$ is a subspace

Reflection is a linear transformation

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