Knowing that $a,b,c \in ℝ^*_+$ prove that $\frac{a+b}{a+b-c},\frac{b+c}{b+c-a},\frac{c+a}{c+a-b} $ don't belong simultaneously to the interval $(1,2)$

score 61 · Answer 8 · 2026-04-08 19:13:05

61

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Linear equation with matrices

Published on 08 Apr 2026 - 19:13

score 3k · Answer 9 · 2026-04-13 21:42:04

3k

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For which value of $k$ does the system of equations not have a unique solution?

Published on 13 Apr 2026 - 21:42

score 110 · Answer 10 · 2026-04-16 09:07:20

110

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Find the value of $\frac{(x+1)(y+1)}{x+y}+\frac{(x+1)(z+1)}{x+z}+\frac{(y+1)(z+1)}{y+z}$

Published on 16 Apr 2026 - 9:07

score 86 · Answer 11 · 2026-04-14 04:28:36

If the dimension of $\textrm{ker}(T_A)$ is 2, does the equation $Ax = [1,2,3]^\textrm{T}$ have infinitely many solutions $x$ in $\mathbb{R}^5$?

score 6.3k · Answer 12 · 2026-04-14 00:26:57

6.3k

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Intersection point of two moving objects

Published on 14 Apr 2026 - 0:26

score 236 · Answer 13 · 2026-04-13 02:11:52

236

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If I have two modular exponentiation equations, can I find the base?

Published on 13 Apr 2026 - 2:11

score 681 · Answer 14 · 2026-04-15 10:06:28

681

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Find the least squares solution to $A\vec{x} = \vec{b}$ using the transpose of $A$

Published on 15 Apr 2026 - 10:06

score 3.9k · Answer 15 · 2026-04-14 07:53:57

3.9k

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Find the least squares solution for rank deficient system

Published on 14 Apr 2026 - 7:53

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Knowing that $a,b,c \in ℝ^*_+$ prove that $\frac{a+b}{a+b-c},\frac{b+c}{b+c-a},\frac{c+a}{c+a-b} $ don't belong simultaneously to the interval $(1,2)$

Linear equation with matrices

For which value of $k$ does the system of equations not have a unique solution?

Find the value of $\frac{(x+1)(y+1)}{x+y}+\frac{(x+1)(z+1)}{x+z}+\frac{(y+1)(z+1)}{y+z}$

If the dimension of $\textrm{ker}(T_A)$ is 2, does the equation $Ax = [1,2,3]^\textrm{T}$ have infinitely many solutions $x$ in $\mathbb{R}^5$?

Intersection point of two moving objects

If I have two modular exponentiation equations, can I find the base?

Find the least squares solution to $A\vec{x} = \vec{b}$ using the transpose of $A$

Find the least squares solution for rank deficient system

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