diketahui matriks X = \left[\begin{array}{ccc}2&5&4\\1&0&3\\2&3&7\end{array}\right] Z = \left[\begin{array}{ccc}3&2&1\\-1&4&0\\5&3&-1\end{array}\right] dan I
Matematika
Berthariani
Pertanyaan
diketahui matriks X = \left[\begin{array}{ccc}2&5&4\\1&0&3\\2&3&7\end{array}\right] Z = \left[\begin{array}{ccc}3&2&1\\-1&4&0\\5&3&-1\end{array}\right]
dan I = matriks identitas. jika X + Y - Z = I, matriks Y adalah.....?
dan I = matriks identitas. jika X + Y - Z = I, matriks Y adalah.....?
1 Jawaban
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1. Jawaban izzaTizza
[tex]X = \left[\begin{array}{ccc}2&5&4\\1&0&3\\2&3&7\end{array}\right] Z = \left[\begin{array}{ccc}3&2&1\\-1&4&0\\5&3&-1\end{array}\right][/tex]
X + Y - Z = I
Y = I + Z -X
[tex]Y= \left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]+ \left[\begin{array}{ccc}3&2&1\\-1&4&0\\5&3&-1\end{array}\right]-\left[\begin{array}{ccc}2&5&4\\1&0&3\\2&3&7\end{array}\right]= [/tex][tex]\left[\begin{array}{ccc}2&-3&-3\\-2&5&-3\\3&0&-8\end{array}\right][/tex]