List questions from linear-transformations

Published on 27 Mar 2026 - 21:59

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Determine the transformation matrices in two different ways

Published on 28 Mar 2026 - 0:47

1.1k

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Preservation of closed sets under linear transformation.

Published on 01 May 2018 - 23:18

489

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Direct sum of subspaces projection

Published on 27 Mar 2026 - 9:20

302

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Show that $F(G(x))=G(F(x)).$

Published on 02 May 2018 - 12:30

531

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The image of the line $\operatorname{Re}(z) = 1$ under $f(z) = (1+i)\frac1z - 2i$

Published on 02 May 2018 - 21:11

67

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the normal to the plane $x = z$

Published on 03 May 2018 - 11:40

1.7k

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find the matrix for the reflection over a line that goes through the origin and makes the angle pi/17 with the x-axis.

Published on 24 Mar 2026 - 22:08

111

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Determine an equation of the line $g$ in coordinates $x', y'$ in terms of the basis $B$

Published on 28 Mar 2026 - 0:31

341

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Show that for $T:V \to W$ if $H$ is a subspace of $W$, then $T^{-1}(H)$ is a subspace of $V$

Published on 03 May 2018 - 17:52

58

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Find $a\in\mathbb R$, if it exists, so that $T(2,0,1)=(1,-\frac 52)$

Published on 03 May 2018 - 19:51

883

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Why do you use the inverse matrix to find the image of a curve in the plane?

Published on 25 Mar 2026 - 22:26

122

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How to construct a matrix of T with respect to some basis?

Published on 28 Mar 2026 - 2:23

58

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Polynomial of linear transformation

Published on 25 Mar 2026 - 6:10

1k

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Simple proof that if $A^n=I$ then $\mathrm{tr}(A^{-1})=\overline{\mathrm{tr}(A)}$

Published on 26 Mar 2026 - 12:46

List Question

Find the parameters of this distribution and the probability

Determine the transformation matrices in two different ways

Preservation of closed sets under linear transformation.

Direct sum of subspaces projection

Show that $F(G(x))=G(F(x)).$

The image of the line $\operatorname{Re}(z) = 1$ under $f(z) = (1+i)\frac1z - 2i$

the normal to the plane $x = z$

find the matrix for the reflection over a line that goes through the origin and makes the angle pi/17 with the x-axis.

Determine an equation of the line $g$ in coordinates $x', y'$ in terms of the basis $B$

Show that for $T:V \to W$ if $H$ is a subspace of $W$, then $T^{-1}(H)$ is a subspace of $V$

Find $a\in\mathbb R$, if it exists, so that $T(2,0,1)=(1,-\frac 52)$

Why do you use the inverse matrix to find the image of a curve in the plane?

How to construct a matrix of T with respect to some basis?

Polynomial of linear transformation

Simple proof that if $A^n=I$ then $\mathrm{tr}(A^{-1})=\overline{\mathrm{tr}(A)}$

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