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This a a vector please help 30 points please brainliest

This A A Vector Please Help 30 Points Please Brainliest class=

Sagot :

gh8186

Answer:

Option #4:

[tex]X=\left[\begin{array}{ccc}10\\24\end{array}\right][/tex]

Step-by-step explanation:

Start With

[tex]\left[\begin{array}{ccc}5&-2\\2&-1\end{array}\right] \left[\begin{array}{ccc}2\\-4\end{array}\right][/tex]

1. Pivot Element

[tex]P_{1} =a_{1,1}=5[/tex]

[tex]\left[\begin{array}{ccc}5&-2\\2&-1\end{array}\right] \left[\begin{array}{ccc}2\\-24\end{array}\right][/tex]

2. Pivot Element Again

[tex]P_{2} =a_{2,2}=-1[/tex]

[tex]\left[\begin{array}{ccc}-1&0\\0&-1\end{array}\right] \left[\begin{array}{ccc}-10\\-24\end{array}\right][/tex]

3.  Get x1 and x2 Values

[tex]\left \{ {{(-1)*x_{1}=(-10)} \atop {(-1)*x_{2}=(-24)}} \right.[/tex]

[tex]-x_{2} = (-24)\\x_{2} = 24\\\\-x_{1} = (-10)\\x_{1} = 10\\[/tex]

4. Get Answer

[tex]x_{1}=10\\x_{2}=24\\\\X=\left[\begin{array}{ccc}10\\24\end{array}\right][/tex]

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