Diketahui sebuah system persamaan linier sebagai berikut :X + 3y –z = 32x + 2y -5z = -12X

August 2018 2 34 Report

Diketahui sebuah system persamaan linier sebagai berikut :

X + 3y –z = 3

2x + 2y -5z = -1

2X - 4y + 2z = -4

Selesaikan persamaan diatas dengan metode :

A. Cramer

rirismaulidina Coba teliti lagi mas

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abrori terima kasih banyak, sekali lagi

rirismaulidina oke

Galladeaviero $\left\{\begin{array}{ccc}x+3y-z=3\\2x+2y-5z=-1\\2x-4y+2z=-4\end{array}\right\\W= \left|\begin{array}{ccc}1&3&-1 \\ 2&2&-5&2&-4&2 \end{array}\right|=4-30+8+4-20-12=-46\\W_x=\left|\begin{array}{ccc}3&3&-1\\-2&2&-1\\2&-4&-4\end{array}\right|=12+60-4-8-60+6=6$

$W_y=\left|\begin{array}{ccc}1&3&-1\\2&-1&-5\\2&-4&2\end{array}\right|=-2-30+8-2-20-12=-58\\\\W_z=\left|\begin{array}{ccc}1&3&3\\2&2&-1\\2&-4&-4\end{array}\right|=-8-6-24-12-4+24=-30$

$\left\{\begin{array}{ccc}x= \frac{W_x}{W}\\\\y=\frac{W_y}{W}\\\\z =\frac{W_z}{W}\end{array}\right\Rightarrow \left\{\begin{array}{ccc}x= \frac{6}{-46}\\\\ y= \frac{-58}{-46}\\\\z= \frac{-30}{-46}\end{array}\right\Rightarrow\left{\begin{array}{ccc}x=- \frac{3}{23} \\\\ y= \frac{29}{23} \\\\ z= \frac{15}{23}\end{array}\right$

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