Question

Let $A$ be an $n \times n$ matrix with real entries such that $A^2 + I = 0$ then $n$ is even. Not duplicated

score 692 · Answer 1 · 2019-05-16 00:02:52

692

Views

Let $A$ be an $n \times n$ matrix with real entries such that $A^2 + I = 0$ then $n$ is even. Not duplicated

Published on 16 May 2019 - 0:02

score 167 · Answer 2 · 2019-08-27 13:08:46

167

Views

Question about a line of reasoning with cyclic subspaces

Published on 27 Aug 2019 - 13:08

score 54 · Answer 3 · 2019-10-21 04:08:28

54

Views

How many $g \in S_6$ are there such that $gxg^{-1} =x?$

Published on 21 Oct 2019 - 4:08

score 27 · Answer 4 · 2019-11-01 12:23:51

27

Views

How many of the following permutations are even?

Published on 01 Nov 2019 - 12:23

score 1.7k · Answer 5 · 2019-11-03 19:31:58

1.7k

Views

Writing permutations as products of adjacent transposition.

Published on 03 Nov 2019 - 19:31

score 132 · Answer 6 · 2019-11-28 08:26:58

132

Views

Why is a hamming (7,4) coding scheme symmetric?

Published on 28 Nov 2019 - 8:26

score 21 · Answer 7 · 2020-01-28 13:08:09

21

Views

Decompose ${\mathbb{Z}_n}^{} / ({\mathbb{Z}_n}^{})^2$ into a direct sum of cyclic groups.

Published on 28 Jan 2020 - 13:08

score 91 · Answer 8 · 2020-03-05 00:06:28

91

Views

Can every finitely generated module be written as a sum of simple modules?

Published on 05 Mar 2020 - 0:06

score 140 · Answer 9 · 2020-05-16 03:40:30

140

Views

Prove $\sum \sqrt{{\frac {2{a}^{2}b}{a+c}}} \leqq a+b+c$ for $a,b,c>0$

Published on 16 May 2020 - 3:40

score 56 · Answer 10 · 2020-05-17 05:54:02

56

Views

Prove $\sum \sqrt{3a+\frac{1}{b}} \geq 6$

Published on 17 May 2020 - 5:54

score 105 · Answer 11 · 2020-05-28 13:24:43

105

Views

Prove $2\left(x^2+y^2+z^2+1)(x^3y+y^3z+z^3x+xyz\right) \le \left(x^2+y^2+z^2+3xyz\right)^2.$

Published on 28 May 2020 - 13:24

score 98 · Answer 12 · 2020-07-09 02:38:07

98

Views

Proving a non-homogeneous inequality with $x,y,z>0$

Published on 09 Jul 2020 - 2:38

score 12.5k · Answer 13 · 2016-11-10 07:40:50

12.5k

Views

Let $A$ be an $n \times n$ matrix with real entries such that $A^2 + I = 0$ then $n$ is even.

Published on 10 Nov 2016 - 7:40

score 243 · Answer 14 · 2016-11-10 12:06:01

243

Views

If the only sub-spaces invariant under $Τ$ are $R^n$ and the zero subspace, then $U$ is diagonalizable.

Published on 10 Nov 2016 - 12:06

score 64 · Answer 15 · 2023-02-17 12:32:52

64

Views

Theorem 3 Corollary 2, Section 7.2 of Hoffman’s Linear Algebra

Published on 17 Feb 2023 - 12:32

List Question

Let $A$ be an $n \times n$ matrix with real entries such that $A^2 + I = 0$ then $n$ is even. Not duplicated

Question about a line of reasoning with cyclic subspaces

How many $g \in S_6$ are there such that $gxg^{-1} =x?$

How many of the following permutations are even?

Writing permutations as products of adjacent transposition.

Why is a hamming (7,4) coding scheme symmetric?

Decompose ${\mathbb{Z}_n}^{} / ({\mathbb{Z}_n}^{})^2$ into a direct sum of cyclic groups.

Can every finitely generated module be written as a sum of simple modules?

Prove $\sum \sqrt{{\frac {2{a}^{2}b}{a+c}}} \leqq a+b+c$ for $a,b,c>0$

Prove $\sum \sqrt{3a+\frac{1}{b}} \geq 6$

Prove $2\left(x^2+y^2+z^2+1)(x^3y+y^3z+z^3x+xyz\right) \le \left(x^2+y^2+z^2+3xyz\right)^2.$

Proving a non-homogeneous inequality with $x,y,z>0$

Let $A$ be an $n \times n$ matrix with real entries such that $A^2 + I = 0$ then $n$ is even.

If the only sub-spaces invariant under $Τ$ are $R^n$ and the zero subspace, then $U$ is diagonalizable.

Theorem 3 Corollary 2, Section 7.2 of Hoffman’s Linear Algebra

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