Question

Why must the basis vectors be orthogonal when finding the projection matrix.

score 1.9k · Answer 1 · 2026-03-25 20:35:19

1.9k

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Why must the basis vectors be orthogonal when finding the projection matrix.

Published on 25 Mar 2026 - 20:35

score 109 · Answer 2 · 2026-03-28 19:30:54

109

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Prove this homomorphism gives an equivalent definition of Linear Space

Published on 28 Mar 2026 - 19:30

score 109 · Answer 3 · 2018-05-31 15:06:38

109

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Let $V$ be the vector space of all polynomials with coefficients in R , i.e, $V= R[X]$.

Published on 31 May 2018 - 15:06

score 514 · Answer 4 · 2018-05-31 15:24:37

514

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Kernel and image of linear operator - matrix representation

Published on 31 May 2018 - 15:24

score 250 · Answer 5 · 2026-03-25 11:20:05

250

Views

Expressing a vector in terms of vectors from orthonormal bases.

Published on 25 Mar 2026 - 11:20

score 21 · Answer 6 · 2026-03-25 18:47:30

21

Views

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

Published on 25 Mar 2026 - 18:47

score 359 · Answer 7 · 2026-03-25 16:05:08

359

Views

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

Published on 25 Mar 2026 - 16:05

score 155 · Answer 8 · 2026-03-29 06:00:38

155

Views

Dropped parentheses in notation for linear transformations

Published on 29 Mar 2026 - 6:00

score 2.3k · Answer 9 · 2018-06-01 05:58:45

2.3k

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

Published on 01 Jun 2018 - 5:58

score 347 · Answer 10 · 2018-06-01 06:49:58

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

score 71 · Answer 11 · 2018-06-01 08:57:40

71

Views

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

Published on 01 Jun 2018 - 8:57

score 55 · Answer 12 · 2026-03-25 21:43:43

55

Views

Proving existence and uniquennes of integral

Published on 25 Mar 2026 - 21:43

score 241 · Answer 13 · 2018-06-02 03:49:37

241

Views

$V = \operatorname{Im} T \oplus \operatorname{Im}T^t \oplus H$ where $T^2 = 0$ and $H = \ker T \cap \ker T^t$

Published on 02 Jun 2018 - 3:49

score 169 · Answer 14 · 2026-03-28 21:26:01

169

Views

Calculate the $Ker(L_1)$

Published on 28 Mar 2026 - 21:26

score 78 · Answer 15 · 2018-06-02 12:26:39

78

Views

Is $T$ surjective,injective or both.

Published on 02 Jun 2018 - 12:26

List Question

Why must the basis vectors be orthogonal when finding the projection matrix.

Prove this homomorphism gives an equivalent definition of Linear Space

Let $V$ be the vector space of all polynomials with coefficients in R , i.e, $V= R[X]$.

Kernel and image of linear operator - matrix representation

Expressing a vector in terms of vectors from orthonormal bases.

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

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

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

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

Proving existence and uniquennes of integral

$V = \operatorname{Im} T \oplus \operatorname{Im}T^t \oplus H$ where $T^2 = 0$ and $H = \ker T \cap \ker T^t$

Calculate the $Ker(L_1)$

Is $T$ surjective,injective or both.

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