Question

How To Express Linear Transformation from $\mathbb{R^{n}}$ to $\mathbb{R^{m}}$ in terms of different basis?

score 132 · Answer 1 · 2018-03-29 10:30:05

132

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How To Express Linear Transformation from $\mathbb{R^{n}}$ to $\mathbb{R^{m}}$ in terms of different basis?

Published on 29 Mar 2018 - 10:30

score 184 · Answer 2 · 2026-03-22 14:37:53

184

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Is integral transform an expansion over a self-ajoint operator's eigenfunctions?

Published on 22 Mar 2026 - 14:37

score 80 · Answer 3 · 2026-03-26 09:41:03

80

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Show that $V=U\oplus W$ and $T=r_{U,W}$

Published on 26 Mar 2026 - 9:41

score 92 · Answer 4 · 2026-03-25 07:40:24

92

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Jordan form and linear transformation

Published on 25 Mar 2026 - 7:40

score 39 · Answer 5 · 2018-03-30 00:10:48

39

Views

Let $T$ be a linear operator, find his diagonal matrix and a base of $P_2$ formed with eigenvectors of T.

Published on 30 Mar 2018 - 0:10

score 84 · Answer 6 · 2026-03-25 01:36:21

84

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Show that there exists a $v\in V$ with $v^*(v)=1$

Published on 25 Mar 2026 - 1:36

score 848 · Answer 7 · 2018-03-30 16:50:26

848

Views

Find the power of the matrix representation of a linear transformation

Published on 30 Mar 2018 - 16:50

score 259 · Answer 8 · 2026-03-25 01:21:20

259

Views

Is every linear transformation with at least two eigenvalues decomposable?

Published on 25 Mar 2026 - 1:21

score 64 · Answer 9 · 2018-03-31 20:13:17

64

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Is every inner product defined by a matrix? Intuition?

Published on 31 Mar 2018 - 20:13

score 2.5k · Answer 10 · 2026-03-28 04:53:18

2.5k

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Can the sum of the dimension of eigenspaces of a linear operator $A : \mathbb V\to \mathbb V$ exceed dim $V$?

Published on 28 Mar 2026 - 4:53

score 90 · Answer 11 · 2018-04-01 15:24:23

90

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Show that $\ker f(T) = \ker d(T)$

Published on 01 Apr 2018 - 15:24

score 3k · Answer 12 · 2026-03-25 11:14:47

3k

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How do I write the matrix of the orthogonal projection spanned by these two vectors?

Published on 25 Mar 2026 - 11:14

score 1.4k · Answer 13 · 2026-03-25 01:20:24

1.4k

Views

Let S be the tetrahedron in $R^3$ with vertices at the vectors ....

Published on 25 Mar 2026 - 1:20

score 122 · Answer 14 · 2026-03-25 20:41:30

122

Views

Adjoints : the mysterious linear operator!

Published on 25 Mar 2026 - 20:41

score 412 · Answer 15 · 2026-02-23 07:46:48

412

Views

Why do transformations of ellipses by matrix transformations remain ellipses.

Published on 23 Feb 2026 - 7:46

List Question

How To Express Linear Transformation from $\mathbb{R^{n}}$ to $\mathbb{R^{m}}$ in terms of different basis?

Is integral transform an expansion over a self-ajoint operator's eigenfunctions?

Show that $V=U\oplus W$ and $T=r_{U,W}$

Jordan form and linear transformation

Let $T$ be a linear operator, find his diagonal matrix and a base of $P_2$ formed with eigenvectors of T.

Show that there exists a $v\in V$ with $v^*(v)=1$

Find the power of the matrix representation of a linear transformation

Is every linear transformation with at least two eigenvalues decomposable?

Is every inner product defined by a matrix? Intuition?

Can the sum of the dimension of eigenspaces of a linear operator $A : \mathbb V\to \mathbb V$ exceed dim $V$?

Show that $\ker f(T) = \ker d(T)$

How do I write the matrix of the orthogonal projection spanned by these two vectors?

Let S be the tetrahedron in $R^3$ with vertices at the vectors ....

Adjoints : the mysterious linear operator!

Why do transformations of ellipses by matrix transformations remain ellipses.

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