Question

Let $v \in R^{k}$ ,with $v^{T} v \neq 0$ . Let $P=I-2 \frac{v v^{T}}{v^{T}v}$, where $I$ is the $k X k $ identity matrix.

score 72 · Answer 1 · 2019-01-16 18:39:45

72

Views

Let $v \in R^{k}$ ,with $v^{T} v \neq 0$ . Let $P=I-2 \frac{v v^{T}}{v^{T}v}$, where $I$ is the $k X k $ identity matrix.

Published on 16 Jan 2019 - 18:39

score 166 · Answer 2 · 2026-04-03 07:34:01

166

Views

Matrix multiplication, linear transformations and systems of equations

Published on 03 Apr 2026 - 7:34

score 1.9k · Answer 3 · 2026-03-25 09:28:17

1.9k

Views

What is the equation for an ellipse in standard form after an arbitrary matrix transformation?

Published on 25 Mar 2026 - 9:28

score 52 · Answer 4 · 2026-03-22 02:29:18

52

Views

Trace in a generalized eigenspace

Published on 22 Mar 2026 - 2:29

score 47 · Answer 5 · 2019-01-17 17:35:31

47

Views

Existence of a subspace of the domain of a linear map with specific properties

Published on 17 Jan 2019 - 17:35

score 856 · Answer 6 · 2026-03-29 14:20:13

856

Views

Determine point of intersection or find the value of $z$

Published on 29 Mar 2026 - 14:20

score 62 · Answer 7 · 2019-01-17 20:52:56

62

Views

How to verify the rank-nullity theorem for the linear application $\frac{d}{dx}\in \operatorname{End}(\mathbb{K}[x]_2)$?

Published on 17 Jan 2019 - 20:52

score 62 · Answer 8 · 2019-01-18 10:31:14

62

Views

$n \times n$ matrix associated with $F(X)=-X$

Published on 18 Jan 2019 - 10:31

score 145 · Answer 9 · 2019-01-18 15:08:03

Finding values for which a linear transformation $L: \mathbb{R}^3 \rightarrow \mathbb{R}^3 $ satisfies $v_1, v_2 \in ker(L)$ and $L(v_3) = (1,1,1)$

score 239 · Answer 10 · 2019-01-19 11:27:11

239

Views

direct sum of $T$-invariant subspaces

Published on 19 Jan 2019 - 11:27

score 619 · Answer 11 · 2026-03-28 02:21:25

619

Views

Eigenvalues keep giving trivial solutions everytime.

Published on 28 Mar 2026 - 2:21

score 32 · Answer 12 · 2026-03-26 19:35:43

32

Views

Eigenspace for a linear transformation + diagonalizability

Published on 26 Mar 2026 - 19:35

score 385 · Answer 13 · 2019-01-19 17:53:34

385

Views

I didn't understand 3blue1brown's video on inverse matrices, where a matrix has no inverse if its determinant is zero

Published on 19 Jan 2019 - 17:53

score 19 · Answer 14 · 2026-04-02 01:24:12

19

Views

Definition of linear transformation over-specified?

Published on 02 Apr 2026 - 1:24

score 912 · Answer 15 · 2026-03-28 06:22:49

912

Views

Is there any relation between SVDs of two matrices with same range?

Published on 28 Mar 2026 - 6:22

List Question

Let $v \in R^{k}$ ,with $v^{T} v \neq 0$ . Let $P=I-2 \frac{v v^{T}}{v^{T}v}$, where $I$ is the $k X k $ identity matrix.

Matrix multiplication, linear transformations and systems of equations

What is the equation for an ellipse in standard form after an arbitrary matrix transformation?

Trace in a generalized eigenspace

Existence of a subspace of the domain of a linear map with specific properties

Determine point of intersection or find the value of $z$

How to verify the rank-nullity theorem for the linear application $\frac{d}{dx}\in \operatorname{End}(\mathbb{K}[x]_2)$?

$n \times n$ matrix associated with $F(X)=-X$

Finding values for which a linear transformation $L: \mathbb{R}^3 \rightarrow \mathbb{R}^3 $ satisfies $v_1, v_2 \in ker(L)$ and $L(v_3) = (1,1,1)$

direct sum of $T$-invariant subspaces

Eigenvalues keep giving trivial solutions everytime.

Eigenspace for a linear transformation + diagonalizability

I didn't understand 3blue1brown's video on inverse matrices, where a matrix has no inverse if its determinant is zero

Definition of linear transformation over-specified?

Is there any relation between SVDs of two matrices with same range?

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