Решить систему уравнения по формулам Крамера. Created by LittlePrincess11. matematika-ru

Перепишем{2x₁+2x₂-x₃=0{0x₁+3x₂+4x₃=-6{x₁+0x₂+x₃=1Δ = Δ₁=Δ₂=Δ₃=x₁=Δ₁/Δ=23/17x₂=Δ₂/Δ=26/17x₃=Δ₃/Δ=-6/17

Решить систему уравнения по формулам Крамера...

LittlePrincess11 @LittlePrincess11

October 2021 1 14 Report

Решить систему уравнения по формулам Крамера

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nafanya2014

Verified answer

Перепишем

{2x₁+2x₂-x₃=0

{0x₁+3x₂+4x₃=-6

{x₁+0x₂+x₃=1

Δ =

$\left|\begin{array}{ccc}2&2&-1\\0&3&4\\1&0&1\end{array}\right| =6+8+0-(-3)-0-0=17$

Δ₁=

$\left|\begin{array}{ccc}0&2&-1\\-6&3&4\\1&0&1\end{array}\right| =0+8+0-(-3)-0-(-12)=23$

Δ₂=

$\left|\begin{array}{ccc}2&0&-1\\0&-6&4\\1&1&1\end{array}\right| =-12-6-8=-26$

Δ₃=

$\left|\begin{array}{ccc}2&2&0\\0&3&-6\\1&0&1\end{array}\right| =6-12+0-0-0-0=-6$

x₁=Δ₁/Δ=23/17

x₂=Δ₂/Δ=26/17

x₃=Δ₃/Δ=-6/17

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