List questions from linear-transformations

Published on 26 Mar 2026 - 21:25

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Let $T:V\to V$ be a diagonalizable linear map on a vector space $V$. Does it hold that $T^{}:V^{}\to V^{**}$ is diagonalizable?

Published on 23 Feb 2026 - 2:56

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Determine if bases for R2 and R3 exist, given a linear transformation matrix with respect to said bases

Published on 25 Oct 2018 - 16:33

124

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If $S,T : V \to V$ are linear maps such that $\text{Im}\, S \subseteq \text{Im}\,T$, find $R : V \to V$ such that $S = T \circ R$.

Published on 25 Oct 2018 - 18:03

276

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Which matrices perform dilation?

Published on 27 Mar 2026 - 3:48

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What is the dimension of $\{X\in M_{n,n}(F); AX=XA=0\}$?

Published on 27 Mar 2026 - 22:57

43

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Finding the basis required to produce a certain matrix of tansformation

Published on 26 Oct 2018 - 19:12

202

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Describing image of line segment under $F: V \rightarrow W$

Published on 27 Oct 2018 - 18:44

122

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Geometric Picture of z'(x, y(x))

Published on 25 Mar 2026 - 6:12

6.4k

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What does $T^2$ mean if T is a linear transformation?

Published on 29 Oct 2018 - 0:47

76

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Existence of inverses of linear combinations of bounded operators

Published on 31 Mar 2026 - 7:53

27

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How to get effort values of a robotic joint in N.m?

Published on 23 Feb 2026 - 1:21

40

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Transform non-linear to linear function

Published on 29 Oct 2018 - 9:50

300

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Find bases B3 and B2 for $\Bbb R^3$ and $\Bbb R^2$ given a linear transformation and its matrix

Published on 29 Oct 2018 - 21:28

100

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Inner Space Projection Using Matrices

Published on 30 Oct 2018 - 0:18

List Question

Find image of matrix $A$

Let $T:V\to V$ be a diagonalizable linear map on a vector space $V$. Does it hold that $T^{}:V^{}\to V^{**}$ is diagonalizable?

Determine if bases for R2 and R3 exist, given a linear transformation matrix with respect to said bases

If $S,T : V \to V$ are linear maps such that $\text{Im}\, S \subseteq \text{Im}\,T$, find $R : V \to V$ such that $S = T \circ R$.

Which matrices perform dilation?

What is the dimension of $\{X\in M_{n,n}(F); AX=XA=0\}$?

Finding the basis required to produce a certain matrix of tansformation

Describing image of line segment under $F: V \rightarrow W$

Geometric Picture of z'(x, y(x))

What does $T^2$ mean if T is a linear transformation?

Existence of inverses of linear combinations of bounded operators

How to get effort values of a robotic joint in N.m?

Transform non-linear to linear function

Find bases B3 and B2 for $\Bbb R^3$ and $\Bbb R^2$ given a linear transformation and its matrix

Inner Space Projection Using Matrices

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