Question

Compatibility of product topology with the vector space structure

score 240 · Answer 1 · 2018-06-27 17:13:02

240

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Compatibility of product topology with the vector space structure

Published on 27 Jun 2018 - 17:13

score 90 · Answer 2 · 2026-03-25 13:55:34

90

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Showing an affine set is a subset of another affine set

Published on 25 Mar 2026 - 13:55

score 53 · Answer 3 · 2018-06-28 14:58:07

53

Views

Linear map and linear subspace exercise

Published on 28 Jun 2018 - 14:58

score 58 · Answer 4 · 2018-06-29 09:12:01

58

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Find basis from matrix representation of linear transformation

Published on 29 Jun 2018 - 9:12

score 9.3k · Answer 5 · 2018-06-29 09:28:43

9.3k

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Is $\{(x,y) \in \Bbb{R}^2 : x^2 -y^2 =0\}$ a subspace of $\mathbb{R^2}$?

Published on 29 Jun 2018 - 9:28

score 461 · Answer 6 · 2026-03-25 03:19:24

461

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The Hilbert Projection Theorem, without an inner product?

Published on 25 Mar 2026 - 3:19

score 74 · Answer 7 · 2018-06-30 10:31:41

74

Views

Dimension of the subspace $\{ p(B) : p \text{ is a polynomial with real coefficients}\}$ where $B$ is a matrix

Published on 30 Jun 2018 - 10:31

score 4.7k · Answer 8 · 2018-06-30 16:23:28

4.7k

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Why is the matrix invertible if its null space is zero?

Published on 30 Jun 2018 - 16:23

score 496 · Answer 9 · 2018-06-30 20:39:20

496

Views

Prove that $\dim(V_1\cap V_2\cap V_3)=1$ or $\dim (V_1+V_2+V_3)=3$

Published on 30 Jun 2018 - 20:39

score 1.8k · Answer 10 · 2018-06-30 22:02:21

1.8k

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Proof: Space of real matrices is the direct sum of spaces of symmetric and skew-symmetric matrices

Published on 30 Jun 2018 - 22:02

score 586 · Answer 11 · 2018-07-01 00:44:10

586

Views

Properties of Convex sets

Published on 01 Jul 2018 - 0:44

score 63 · Answer 12 · 2018-07-01 08:30:34

63

Views

Exercise about dimension of endomorphism (linear application)

Published on 01 Jul 2018 - 8:30

score 181 · Answer 13 · 2018-07-01 21:10:12

Let $V$ be a finite dimensional normed vector space, and $W$ be a subspace of $V$. Show that $\{\inf(\| v-w\|) : w \in W\}$ attains a minimum on $W$.

score 35 · Answer 14 · 2018-07-02 01:03:41

35

Views

Understanding definition of straight line $\overline{l}$ through $\overline{x}$ parallel to $\overline{y}$

Published on 02 Jul 2018 - 1:03

score 251 · Answer 15 · 2026-03-26 11:08:13

251

Views

Proving that $A+A \not\subset 2A $ using a particular definition for sum of sets

Published on 26 Mar 2026 - 11:08

List Question

Compatibility of product topology with the vector space structure

Showing an affine set is a subset of another affine set

Linear map and linear subspace exercise

Find basis from matrix representation of linear transformation

Is $\{(x,y) \in \Bbb{R}^2 : x^2 -y^2 =0\}$ a subspace of $\mathbb{R^2}$?

The Hilbert Projection Theorem, without an inner product?

Dimension of the subspace $\{ p(B) : p \text{ is a polynomial with real coefficients}\}$ where $B$ is a matrix

Why is the matrix invertible if its null space is zero?

Prove that $\dim(V_1\cap V_2\cap V_3)=1$ or $\dim (V_1+V_2+V_3)=3$

Proof: Space of real matrices is the direct sum of spaces of symmetric and skew-symmetric matrices

Properties of Convex sets

Exercise about dimension of endomorphism (linear application)

Let $V$ be a finite dimensional normed vector space, and $W$ be a subspace of $V$. Show that $\{\inf(\| v-w\|) : w \in W\}$ attains a minimum on $W$.

Understanding definition of straight line $\overline{l}$ through $\overline{x}$ parallel to $\overline{y}$

Proving that $A+A \not\subset 2A $ using a particular definition for sum of sets

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