Question

Joint and conditional distribution of summed sequential normal random variables

score 46 · Answer 1 · 2026-03-25 09:23:47

46

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Joint and conditional distribution of summed sequential normal random variables

Published on 25 Mar 2026 - 9:23

score 268 · Answer 2 · 2018-02-14 21:59:42

268

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Dimension of a range space of a linear operator

Published on 14 Feb 2018 - 21:59

score 96 · Answer 3 · 2026-03-25 10:35:35

96

Views

A counter-example to $KerT$ is closed iff $T$ is continuous when $T$ maps from $\mathbb{R}$ to $\mathbb{R^2}$ with respect to standard norms.

Published on 25 Mar 2026 - 10:35

score 91 · Answer 4 · 2026-03-25 20:40:17

91

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$T^2 = \lambda T$

Published on 25 Mar 2026 - 20:40

score 43 · Answer 5 · 2018-02-15 06:06:29

43

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Finding the Matrix of a Linear Transformation

Published on 15 Feb 2018 - 6:06

score 760 · Answer 6 · 2018-02-15 07:02:10

760

Views

Prove that there exist discontinuous functions $f: \mathbb{R} \to \mathbb{R}$ such that $f(x+y) = f(x) + f(y)$.

Published on 15 Feb 2018 - 7:02

score 114 · Answer 7 · 2026-03-25 11:09:52

114

Views

For any $\phi$, is $\phi$ self-adjoint on $E_{\lambda_1} \oplus E_{\lambda_2} \oplus...\oplus E_{\lambda_k}$ if $\phi$ stable on $T$

Published on 25 Mar 2026 - 11:09

score 692 · Answer 8 · 2018-02-15 14:19:59

692

Views

Axler's LADR. Algebraic multiplicity of an eigenvalue is the number of times it appears on the diagonal of an upper triangular matrix?

Published on 15 Feb 2018 - 14:19

score 559 · Answer 9 · 2018-02-15 15:45:14

559

Views

What is the relation between the rank of $A$ and the rank of the cofactor matrix of $A$?

Published on 15 Feb 2018 - 15:45

score 64 · Answer 10 · 2026-03-25 03:21:26

64

Views

Let $A, B : V \to V$ be linear transformations, where V is a vector space. Prove that $I - ST$ is invertible iff $I - TS$ is invertible.

Published on 25 Mar 2026 - 3:21

score 83 · Answer 11 · 2026-03-25 03:22:17

83

Views

Prove that if $A\colon V \to V$ is a linear transformation, where $V$ is a finite-dimensional vector space, has a right inverse, then its invertible

Published on 25 Mar 2026 - 3:22

score 4.4k · Answer 12 · 2026-03-24 23:46:23

4.4k

Views

determining the matrix of a linear transformation (first order derivative) with respect to a basis

Published on 24 Mar 2026 - 23:46

score 77 · Answer 13 · 2026-03-25 23:42:16

77

Views

Let $T:V\rightarrow U$ be a linear transformation. If $dimKerT=k$ and $ B=(b_1,...,b_n)$ is a basis of $V$, then prove the following statement:

Published on 25 Mar 2026 - 23:42

score 50 · Answer 14 · 2026-03-26 20:41:16

50

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Surjectivity of $T$ is not a necessary condition for $\operatorname{range}ST = \operatorname{range}S$

Published on 26 Mar 2026 - 20:41

score 3k · Answer 15 · 2026-03-27 00:06:34

3k

Views

$\mathcal{L}(V,W)$ is infinite dimensional when $V$ is finite dimensional and $W$ is infinite dimensional.

Published on 27 Mar 2026 - 0:06

List Question

Joint and conditional distribution of summed sequential normal random variables

Dimension of a range space of a linear operator

A counter-example to $KerT$ is closed iff $T$ is continuous when $T$ maps from $\mathbb{R}$ to $\mathbb{R^2}$ with respect to standard norms.

$T^2 = \lambda T$

Finding the Matrix of a Linear Transformation

Prove that there exist discontinuous functions $f: \mathbb{R} \to \mathbb{R}$ such that $f(x+y) = f(x) + f(y)$.

For any $\phi$, is $\phi$ self-adjoint on $E_{\lambda_1} \oplus E_{\lambda_2} \oplus...\oplus E_{\lambda_k}$ if $\phi$ stable on $T$

Axler's LADR. Algebraic multiplicity of an eigenvalue is the number of times it appears on the diagonal of an upper triangular matrix?

What is the relation between the rank of $A$ and the rank of the cofactor matrix of $A$?

Let $A, B : V \to V$ be linear transformations, where V is a vector space. Prove that $I - ST$ is invertible iff $I - TS$ is invertible.

Prove that if $A\colon V \to V$ is a linear transformation, where $V$ is a finite-dimensional vector space, has a right inverse, then its invertible

determining the matrix of a linear transformation (first order derivative) with respect to a basis

Let $T:V\rightarrow U$ be a linear transformation. If $dimKerT=k$ and $ B=(b_1,...,b_n)$ is a basis of $V$, then prove the following statement:

Surjectivity of $T$ is not a necessary condition for $\operatorname{range}ST = \operatorname{range}S$

$\mathcal{L}(V,W)$ is infinite dimensional when $V$ is finite dimensional and $W$ is infinite dimensional.

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