Matematika

Pertanyaan

Diketahui matriks A=[tex] \left[\begin{array}{ccc}4a&8&4\\6&-1&-3b\\5&3c&9\end{array}\right][/tex] dan B=[tex] \left[\begin{array}{ccc}12&8&4\\6&-1&-3a\\5&b8&9\end{array}\right] [/tex]. Jika A=B, maka tentukan nilai dari a+b+c!

1 Jawaban

  • [tex] \left[\begin{array}{ccc}4a&8&4\\6&-1&-3b\\5&3c&9\end{array}\right] = \left[\begin{array}{ccc}12&8&4\\6&-1&-3a\\5&8b&9\end{array}\right] \\ \\ 4a=12-> a=3 \\ \\ -3b=-3a \\ -3b=-3.3 \\ b=3 \\ \\ 3c=8b \\ 3c=8.3 \\ c=8 \\ \\ a+b+c = 3+3+8=14[/tex]

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