How do you set up and solve the following system using augmented matrices $2 x + 3 y + 4 z = 20, 3 x + 4 y + 2 z = 17, 3 x + 2 y + 3 z = 16$ $2x+3y+4z=20, 3x+4y+2z=17, 3x+2y+3z=16$ ?

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How do you set up and solve the following system using augmented matrices $2 x + 3 y + 4 z = 20, 3 x + 4 y + 2 z = 17, 3 x + 2 y + 3 z = 16$ $2x+3y+4z=20, 3x+4y+2z=17, 3x+2y+3z=16$ ?

1 Answer

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Answer 1 · 2017-10-06T23:35:01

$x = 1, y = 2$ $x=1,y=2$ & $z = 3$ $z=3$

Explanation:

Steps :
1. Find determinant |A|
2. Find Adjoint A
3. Find $(A^{- 1})$ $(A^-1)$ using formula $A^{- 1} = (\frac{1}{| A |}) (A d j . A)$ $A^-1=(1/|A|)(Adj. A)$
4. Find x, y, z.
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How do you set up and solve the following system using augmented matrices $2 x + 3 y + 4 z = 20, 3 x + 4 y + 2 z = 17, 3 x + 2 y + 3 z = 16$ $2x+3y+4z=20, 3x+4y+2z=17, 3x+2y+3z=16$ ?

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How do you set up and solve the following system using augmented matrices 2x+3y+4z=20,3x+4y+2z=17,3x+2y+3z=162x+3y+4z=20, 3x+4y+2z=17, 3x+2y+3z=16?

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Explanation:

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How do you set up and solve the following system using augmented matrices $2 x + 3 y + 4 z = 20, 3 x + 4 y + 2 z = 17, 3 x + 2 y + 3 z = 16$ $2x+3y+4z=20, 3x+4y+2z=17, 3x+2y+3z=16$ ?