List questions from linear-algebra

Published on 11 Apr 2026 - 6:45

364

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Finding the transformation matrix given points in space and their projections on a plane

Published on 10 May 2026 - 12:53

157

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Dropped parentheses in notation for linear transformations

Published on 11 Apr 2026 - 17:32

244

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Covariance of a Lipschitz function

Published on 11 May 2026 - 2:00

795

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Product of two subspaces - contradiction?

Published on 13 Apr 2026 - 14:38

2.3k

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Proving $\ker(T) = \ker(T^)$ and $\operatorname{range}(T) = \operatorname{range}(T^)$ for normal operator T

Published on 17 Apr 2026 - 0:34

1.1k

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Prove $(a+ba)^ba = (a^ba)^+$ and $(a+b(ab)^aa)^ b(ab)^a = (a^ba)^+$

Published on 10 May 2026 - 12:53

78

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Let $A∈M_n$ ($\mathbb R$). If $A^2=-I$ then,

Published on 15 Apr 2026 - 4:48

350

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Prove $\operatorname{Range}(T^k) = \operatorname{Range}(T)$ and $\operatorname{Ker}(T^k) = \operatorname{Ker}(T)$ for all natural numbers k

Published on 15 Apr 2026 - 22:02

166

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Find the eigenvalues of the block matrix

Published on 14 Apr 2026 - 8:58

202

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IVP Differential Equation

Published on 11 Apr 2026 - 13:33

74

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Linear Transformation $T\colon V\rightarrow V$ defined by $T(y)=y+e^{-2t}\frac{dy}{dt}$

Published on 12 Apr 2026 - 9:23

54

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Find a positive-definite scalar product for which $F:\mathbb{R^3}\to \mathbb{R^3}$ is symmetrical

Published on 13 May 2026 - 6:08

50

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Linear algebra, polynomials and vectors.

Published on 17 Apr 2026 - 7:30

90

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about power of $2 \times 2$ matrix.

Published on 22 Apr 2026 - 16:16

List Question

Changing the way the curve moves for y=1/x^c with different "c" values

Finding the transformation matrix given points in space and their projections on a plane

Dropped parentheses in notation for linear transformations

Covariance of a Lipschitz function

Product of two subspaces - contradiction?

Proving $\ker(T) = \ker(T^)$ and $\operatorname{range}(T) = \operatorname{range}(T^)$ for normal operator T

Prove $(a+ba)^ba = (a^ba)^+$ and $(a+b(ab)^aa)^ b(ab)^a = (a^ba)^+$

Let $A∈M_n$ ($\mathbb R$). If $A^2=-I$ then,

Prove $\operatorname{Range}(T^k) = \operatorname{Range}(T)$ and $\operatorname{Ker}(T^k) = \operatorname{Ker}(T)$ for all natural numbers k

Find the eigenvalues of the block matrix

IVP Differential Equation

Linear Transformation $T\colon V\rightarrow V$ defined by $T(y)=y+e^{-2t}\frac{dy}{dt}$

Find a positive-definite scalar product for which $F:\mathbb{R^3}\to \mathbb{R^3}$ is symmetrical

Linear algebra, polynomials and vectors.

about power of $2 \times 2$ matrix.

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