Question

Prove that two kernels are equal

score 410 · Answer 1 · 2026-03-22 08:42:19

410

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Prove that two kernels are equal

Published on 22 Mar 2026 - 8:42

score 122 · Answer 2 · 2018-01-15 16:14:07

122

Views

Find eigenvalues for $f(A) = A^t$

Published on 15 Jan 2018 - 16:14

score 946 · Answer 3 · 2018-01-15 16:24:38

946

Views

If $T$ is linear and $\|Tv\| \leq \|v\|$, then $T-\sqrt{2}I$ is invertible.

Published on 15 Jan 2018 - 16:24

score 133 · Answer 4 · 2026-03-19 21:56:09

133

Views

Equality of affine subsets

Published on 19 Mar 2026 - 21:56

score 51 · Answer 5 · 2026-03-19 17:10:11

51

Views

For $1-w\bar w$ is positive definite , there exists an $n × n$ matrix $a$ with complex entries such that $(1- w\bar w)\{a\}= 1$

Published on 19 Mar 2026 - 17:10

score 121 · Answer 6 · 2026-03-17 02:19:25

121

Views

Proving that $ (A + I)^n=(2^n-1)A + I $

Published on 17 Mar 2026 - 2:19

score 193 · Answer 7 · 2026-03-20 08:05:02

193

Views

Computing the logarithm of an exponentiated matrix?

Published on 20 Mar 2026 - 8:05

score 80 · Answer 8 · 2026-03-24 21:59:51

80

Views

Finding an endomorphism (having trouble converting between bases).

Published on 24 Mar 2026 - 21:59

score 1.7k · Answer 9 · 2026-03-23 18:03:04

1.7k

Views

Finding $Im(T)$ and $Ker(T)$ of the following linear transformation

Published on 23 Mar 2026 - 18:03

score 153 · Answer 10 · 2018-01-15 20:18:49

153

Views

Confusion regarding Change of Basis Matrix

Published on 15 Jan 2018 - 20:18

score 79 · Answer 11 · 2018-01-15 20:27:59

79

Views

Prove there exists $A \in M_n{(\mathbb R)}$ s.t. $A^2 = \begin{pmatrix} M & 0 \\ 0 & M \\ \end{pmatrix}$

Published on 15 Jan 2018 - 20:27

score 3.7k · Answer 12 · 2026-03-24 20:32:08

3.7k

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Find the equation of a plane containing a point and passing through a line

Published on 24 Mar 2026 - 20:32

score 156 · Answer 13 · 2026-03-22 06:22:30

156

Views

$ \exists \ g \in \mathcal{L}(E)$ s.t. $g^2 = f \ \iff \forall \ k$, $\dim \ker(f-aId)^k$ is even

Published on 22 Mar 2026 - 6:22

score 52 · Answer 14 · 2026-03-20 01:13:31

52

Views

How does it follow that $A^T A = I$ from $m_{ij}m_{ik}=\delta _{jk}$?

Published on 20 Mar 2026 - 1:13

score 43 · Answer 15 · 2026-03-24 19:16:48

43

Views

Find the matrices of the linear mappings in the following bases

Published on 24 Mar 2026 - 19:16

List Question

Prove that two kernels are equal

Find eigenvalues for $f(A) = A^t$

If $T$ is linear and $\|Tv\| \leq \|v\|$, then $T-\sqrt{2}I$ is invertible.

Equality of affine subsets

For $1-w\bar w$ is positive definite , there exists an $n × n$ matrix $a$ with complex entries such that $(1- w\bar w)\{a\}= 1$

Proving that $ (A + I)^n=(2^n-1)A + I $

Computing the logarithm of an exponentiated matrix?

Finding an endomorphism (having trouble converting between bases).

Finding $Im(T)$ and $Ker(T)$ of the following linear transformation

Confusion regarding Change of Basis Matrix

Prove there exists $A \in M_n{(\mathbb R)}$ s.t. $A^2 = \begin{pmatrix} M & 0 \\ 0 & M \\ \end{pmatrix}$

Find the equation of a plane containing a point and passing through a line

$ \exists \ g \in \mathcal{L}(E)$ s.t. $g^2 = f \ \iff \forall \ k$, $\dim \ker(f-aId)^k$ is even

How does it follow that $A^T A = I$ from $m_{ij}m_{ik}=\delta _{jk}$?

Find the matrices of the linear mappings in the following bases

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