List questions from linear-transformations

Published on 25 Mar 2026 - 15:59

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$T$ is the scalar multiple of the identity operator

Published on 26 Mar 2026 - 1:07

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$T\in\mathcal{L}(V)$ is a scalar multiple of identity operator, where $dim\ V\geq 3$

Published on 22 Mar 2026 - 21:26

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Given matrix $A$ and $B$, if matrix $B$ is not invertible what is matrix $C$ if $BC = A$?

Published on 25 Mar 2026 - 19:05

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Give an example of a linear transformation whose kernel is the line spanned by vector: $\begin{bmatrix} -1 & 1 & 2\end{bmatrix}^T$

Published on 22 Mar 2026 - 3:16

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Commutativity and Jordan Decomposition

Published on 22 Mar 2026 - 10:34

82

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Linearly independent eigenvector

Published on 25 Mar 2026 - 20:39

204

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Trying to find the dimension of a vector space...

Published on 26 Mar 2026 - 9:33

58

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Minimal polynomial of one value and multiplicity one implies matrix diagonalizable

Published on 22 Mar 2026 - 4:31

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Find the eigenvalues and show the eigenvectors span

Published on 26 Mar 2026 - 3:00

61

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Jordan forms associated with characteristic polynomials and minimal polynomials

Published on 19 Mar 2026 - 19:26

1k

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Rank of Linear Transformation $T^2=0$

Published on 22 Mar 2026 - 8:35

239

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Linear Applications between Vector Spaces

Published on 25 Mar 2026 - 12:47

802

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Finding the kernel and image of a matrix

Published on 22 Mar 2026 - 2:05

29

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Determine the matrix $B$ such that the following equation $L$ is a linear transformation from $R^{n \times n}$ to $R^{n \times n}$

Published on 25 Mar 2026 - 14:25

List Question

Implications of $T(u+v)$ when $u$ and $v$ are eigenvectors

$T$ is the scalar multiple of the identity operator

$T\in\mathcal{L}(V)$ is a scalar multiple of identity operator, where $dim\ V\geq 3$

Given matrix $A$ and $B$, if matrix $B$ is not invertible what is matrix $C$ if $BC = A$?

Give an example of a linear transformation whose kernel is the line spanned by vector: $\begin{bmatrix} -1 & 1 & 2\end{bmatrix}^T$

Commutativity and Jordan Decomposition

Linearly independent eigenvector

Trying to find the dimension of a vector space...

Minimal polynomial of one value and multiplicity one implies matrix diagonalizable

Find the eigenvalues and show the eigenvectors span

Jordan forms associated with characteristic polynomials and minimal polynomials

Rank of Linear Transformation $T^2=0$

Linear Applications between Vector Spaces

Finding the kernel and image of a matrix

Determine the matrix $B$ such that the following equation $L$ is a linear transformation from $R^{n \times n}$ to $R^{n \times n}$

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