Question

Given the matrices $A\in M_{m\times n}, B\in M_{n\times p}: \ B\neq 0$, suppose $AB=0$. Prove: there exists a non-trivial solution for $Ax=0$

score 54 · Answer 1 · 2026-03-30 04:25:30

54

Views

Given the matrices $A\in M_{m\times n}, B\in M_{n\times p}: \ B\neq 0$, suppose $AB=0$. Prove: there exists a non-trivial solution for $Ax=0$

Published on 30 Mar 2026 - 4:25

score 166 · Answer 2 · 2019-12-20 15:14:26

166

Views

solutions of $a+b=c^2 , a^2+c^2=b^2$ ; $a,b,c$ are natural numbers

Published on 20 Dec 2019 - 15:14

score 52 · Answer 3 · 2019-12-21 13:11:56

52

Views

Solve $\frac{y+1}{x-y}+\frac{x+2}{x+y}=\frac{x^2+y^2+10}{x^2-y^2}$ and $ 2x+5y=1$

Published on 21 Dec 2019 - 13:11

score 181 · Answer 4 · 2026-03-28 00:29:50

181

Views

Find $xy+yz+zx$, given quadratic form of equations.

Published on 28 Mar 2026 - 0:29

score 215 · Answer 5 · 2019-12-21 22:16:37

215

Views

Solve system $x^2+y^2=\frac{2xy}{z}$; $y^2+z^2=\frac{2yz}{x}$; $x^2+z^2=\frac{2xz}{y}$

Published on 21 Dec 2019 - 22:16

score 22 · Answer 6 · 2026-04-12 19:43:53

22

Views

Construct System of linear equations with 2 behaviors

Published on 12 Apr 2026 - 19:43

score 129 · Answer 7 · 2026-04-02 04:41:44

129

Views

$\frac{x}{y}-\frac{y}{x}=\frac56$ and $x^2-y^2=5$

Published on 02 Apr 2026 - 4:41

score 88 · Answer 8 · 2026-04-02 04:39:57

88

Views

$\frac5x-\frac3y=-4$ and $\frac3{x^2}+\frac6{y^2}=\frac{11}3$

Published on 02 Apr 2026 - 4:39

score 87 · Answer 9 · 2026-03-27 02:37:39

87

Views

How to find result of system $x+y^2-4=0$ and $y+x^2-4=0$ without using the quartic formula

Published on 27 Mar 2026 - 2:37

score 52 · Answer 10 · 2026-04-13 08:10:18

52

Views

Two brigades, working together, can do some work in $12$ days

Published on 13 Apr 2026 - 8:10

score 338 · Answer 11 · 2026-03-26 00:59:52

338

Views

Use appropriate Liapunov function to determine the stability

Published on 26 Mar 2026 - 0:59

score 105 · Answer 12 · 2026-04-11 16:56:52

105

Views

How to solve this system of non linear trigonometric equations.

Published on 11 Apr 2026 - 16:56

score 64 · Answer 13 · 2026-03-25 17:43:58

64

Views

Suggestions on solving a system of equations

Published on 25 Mar 2026 - 17:43

score 47 · Answer 14 · 2026-04-11 03:24:44

47

Views

Model a system from a problem

Published on 11 Apr 2026 - 3:24

score 83 · Answer 15 · 2019-12-25 18:39:19

83

Views

Solving $\small\begin{cases}\frac{39}{x}-\frac{11}{y}-5x+10y=0\\\frac{7}{x-2y}+x-2y+8=0\end{cases}$

Published on 25 Dec 2019 - 18:39

List Question

Given the matrices $A\in M_{m\times n}, B\in M_{n\times p}: \ B\neq 0$, suppose $AB=0$. Prove: there exists a non-trivial solution for $Ax=0$

solutions of $a+b=c^2 , a^2+c^2=b^2$ ; $a,b,c$ are natural numbers

Solve $\frac{y+1}{x-y}+\frac{x+2}{x+y}=\frac{x^2+y^2+10}{x^2-y^2}$ and $ 2x+5y=1$

Find $xy+yz+zx$, given quadratic form of equations.

Solve system $x^2+y^2=\frac{2xy}{z}$; $y^2+z^2=\frac{2yz}{x}$; $x^2+z^2=\frac{2xz}{y}$

Construct System of linear equations with 2 behaviors

$\frac{x}{y}-\frac{y}{x}=\frac56$ and $x^2-y^2=5$

$\frac5x-\frac3y=-4$ and $\frac3{x^2}+\frac6{y^2}=\frac{11}3$

How to find result of system $x+y^2-4=0$ and $y+x^2-4=0$ without using the quartic formula

Two brigades, working together, can do some work in $12$ days

Use appropriate Liapunov function to determine the stability

How to solve this system of non linear trigonometric equations.

Suggestions on solving a system of equations

Model a system from a problem

Solving $\small\begin{cases}\frac{39}{x}-\frac{11}{y}-5x+10y=0\\\frac{7}{x-2y}+x-2y+8=0\end{cases}$

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