Tentukan bentuk eselon baris tereduksi dari matriks berikut :Gunakan Operasi Baris Elementer ya.. :).... Question from @MasaldoSMANTANG

December 2019 1 29 Report

Tentukan bentuk eselon baris tereduksi dari matriks berikut :
$\left[{\begin{array}{ccc}2&-3&0\\3&1&4\\5&0&-2\end{array}}\right|\left.{\begin{array}{c}3\\2\\1\end{array}}\right]$
Gunakan Operasi Baris Elementer ya.. :)

Adjie564 $\left[{\begin{array}{ccc}2&-3&0\\3&1&4\\5&0&-2\end{array}}\right|\left.{\begin{array}{c}3\\2\\1\end{array}}\right]\begin{array}{c}b_2+2b_3\to\,b_2\end{array}\\\left[{\begin{array}{ccc}2&-3&0\\13&1&0\\5&0&-2\end{array}}\right|\left.{\begin{array}{c}3\\4\\1\end{array}}\right]\begin{array}{c}b_1+3b_2\to\,b_1\end{array}=\left[{\begin{array}{ccc}41&0&0\\13&1&0\\5&0&-2\end{array}}\right|\left.{\begin{array}{c}15\\4\\1\end{array}}\right]\begin{array}{c}5b_1-41b_3\to\,b_3\end{array}\\\left[{\begin{array}{ccc}41&0&0\\13&1&0\\0&0&82\end{array}}\right|\left.{\begin{array}{c}15\\4\\34\end{array}}\right]\begin{array}{c}13b_1-41b_2\to\,b_2\end{array}=\left[{\begin{array}{ccc}41&0&0\\0&-41&0\\0&0&82\end{array}}\right|\left.{\begin{array}{c}15\\31\\34\end{array}}\right]\begin{array}{c}\frac{1}{41}b_1\\-\frac{1}{41}b_2\\\frac{1}{82}b_3\end{array}\\\left[{\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}}\right|\left.{\begin{array}{c}\frac{15}{41}\\-\frac{31}{41}\\\frac{17}{41}\end{array}}\right]$

Semoga membantu.

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MasaldoSMANTANG masuk pak eko