List questions from linear-transformations

Published on 03 Nov 2018 - 13:16

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Nilpotent Transformations and Invariant Subspaces

Published on 25 Mar 2026 - 7:39

131

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Let $f$ and $g$ be two linear operators, show that eigenvalues of $g$ are of the form $a, a-1, a-2, \ldots, a - (n - 1)$?

Published on 23 Feb 2026 - 3:01

123

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Matrix relative to a Linear Transformation. Diagonal Matrix.

Published on 26 Mar 2026 - 4:30

413

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Diagonal matrix of a Basis

Published on 26 Mar 2026 - 4:31

1.6k

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What is n-dimensional DFT as a linear transformation matrix look like? How it can be expressed as a matrix multiplication?

Published on 27 Mar 2026 - 22:53

63

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Quadratic form problem

Published on 25 Mar 2026 - 9:22

102

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Understanding in depth change of basis

Published on 26 Mar 2026 - 14:41

304

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Data transformation: new min, max and mean

Published on 27 Mar 2026 - 12:56

52

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Given $T: M_{m\times n} \to M_{m\times n}$, defined by $T(A)=A^T$. Prove: $T$ is a linear transformation

Published on 04 Nov 2018 - 17:33

47

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Let $T: M_{n \times n} \to R$ be defined as $T(A) = det(A)$. Is $T$ linear? Explain!

Published on 04 Nov 2018 - 23:45

675

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Find the standard matrix of the linear transformation of $T(x,y,3)=(x-y,3-2x)$

Published on 05 Nov 2018 - 0:19

1.2k

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Finding coordinates of a point of a function on a graph.

Published on 05 Nov 2018 - 2:32

102

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Proving that the linear transformation $T$ is diagonizable

Published on 26 Mar 2026 - 4:32

297

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dot product and direction cosines of rotation

Published on 05 Nov 2018 - 14:35

List Question

Differentiability of matrix square root operator

Nilpotent Transformations and Invariant Subspaces

Let $f$ and $g$ be two linear operators, show that eigenvalues of $g$ are of the form $a, a-1, a-2, \ldots, a - (n - 1)$?

Matrix relative to a Linear Transformation. Diagonal Matrix.

Diagonal matrix of a Basis

What is n-dimensional DFT as a linear transformation matrix look like? How it can be expressed as a matrix multiplication?

Quadratic form problem

Understanding in depth change of basis

Data transformation: new min, max and mean

Given $T: M_{m\times n} \to M_{m\times n}$, defined by $T(A)=A^T$. Prove: $T$ is a linear transformation

Let $T: M_{n \times n} \to R$ be defined as $T(A) = det(A)$. Is $T$ linear? Explain!

Find the standard matrix of the linear transformation of $T(x,y,3)=(x-y,3-2x)$

Finding coordinates of a point of a function on a graph.

Proving that the linear transformation $T$ is diagonizable

dot product and direction cosines of rotation

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