List questions from linear-transformations

Published on 26 Mar 2026 - 7:56

734

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Basis of a transformation matrix for diagonal matrix

Published on 26 Mar 2026 - 9:40

78

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How to find CDF of $Y=|X|\wedge 2$ with $X\sim Laplace(\lambda)$

Published on 25 Mar 2026 - 17:38

5.1k

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How many solutions $Ax=0$ has

Published on 29 Mar 2026 - 5:34

957

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Linear operator and inner product

Published on 31 Mar 2026 - 19:16

35

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Finding the matrix form of a linear operator with a non canonical vector space $V$?

Published on 13 Dec 2018 - 1:47

93

Views

Insightful proof for $UV^T = \sum_{i=1}^n u_iv_i^T $

Published on 13 Dec 2018 - 4:38

721

Views

Prove that in QR factorization, R is the change of coordinate matrix from the standard basis to the basis of the vectors in Q

Published on 13 Dec 2018 - 6:40

351

Views

Linear map $L \neq O$ having trivial image only at $L^2=L \circ L$

Published on 25 Mar 2026 - 5:01

297

Views

Prove that $p ◦ p = p$. (Representing a Linear Transformation as a Matrix)

Published on 26 Mar 2026 - 9:19

47

Views

Linear transformations - 2 opposite claims, solution attempt included

Published on 13 Dec 2018 - 16:57

37

Views

Compute $\text{rk}(p)$ using Gauss reduction on $A$. Compute $\dim\big(\ker(p)\big)$.

Published on 26 Mar 2026 - 7:42

40

Views

Let $v \in \operatorname{Im}(p)$. Compute $p(v)$.

Published on 25 Mar 2026 - 3:20

20

Views

Mapping one range into another in an exponential but computationally cheap fashion

Published on 14 Dec 2018 - 0:40

510

Views

Some sort of commutativity of circulant matrices with a certain transformation

Published on 25 Mar 2026 - 3:03

List Question

Orthogonal transformation with additional constraints

Basis of a transformation matrix for diagonal matrix

How to find CDF of $Y=|X|\wedge 2$ with $X\sim Laplace(\lambda)$

How many solutions $Ax=0$ has

Linear operator and inner product

Finding the matrix form of a linear operator with a non canonical vector space $V$?

Insightful proof for $UV^T = \sum_{i=1}^n u_iv_i^T $

Prove that in QR factorization, R is the change of coordinate matrix from the standard basis to the basis of the vectors in Q

Linear map $L \neq O$ having trivial image only at $L^2=L \circ L$

Prove that $p ◦ p = p$. (Representing a Linear Transformation as a Matrix)

Linear transformations - 2 opposite claims, solution attempt included

Compute $\text{rk}(p)$ using Gauss reduction on $A$. Compute $\dim\big(\ker(p)\big)$.

Let $v \in \operatorname{Im}(p)$. Compute $p(v)$.

Mapping one range into another in an exponential but computationally cheap fashion

Some sort of commutativity of circulant matrices with a certain transformation

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