minta bantuan nya no 17 dan 18, beserta cara nya
Matematika
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Pertanyaan
minta bantuan nya no 17 dan 18, beserta cara nya
1 Jawaban
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1. Jawaban hendrisyafa
17. pada persamaan AC = B
A = B [tex] C^{-1} [/tex]
Sehingga B [tex] C^{-1} [/tex] = A
[tex] C^{-1} [/tex] = [tex] B^{-1} [/tex] A
[tex] B^{-1} [/tex] = [tex] \frac{1}{det B} [/tex] [tex] \left[\begin{array}{ccc}1&3\\-2&5\\\end{array}\right] [/tex]
det B = (5)(1)-(-3)(2) = 11
[tex] B^{-1} [/tex] = [tex] \frac{1}{11} [/tex] [tex] \left[\begin{array}{ccc}1&3\\-2&5\\\end{array}\right] [/tex]
[tex] C^{-1} [/tex] = [tex] \frac{1}{11} [/tex] [tex] \left[\begin{array}{ccc}1&3\\-2&5\\\end{array}\right] [/tex] [tex] \left[\begin{array}{ccc}4&2\\3&-4\\\end{array}\right] [/tex]
= [tex] \frac{1}{11} [/tex] [tex] \left[\begin{array}{ccc}(1)(4)+(3)(3)&(1)(2)-(3)(4)\\(-2)(4)+(5)(3)&(-2)(2)-(5)(4)\\\end{array}\right] [/tex]
= [tex] \frac{1}{11} [/tex] [tex] \left[\begin{array}{ccc}13&-10\\7&-24\end{array}\right] [/tex]
= [tex] \left[\begin{array}{ccc} \frac{13}{11}& -\frac{10}{11}\\ \frac{7}{11} & -\frac{24}{11} \end{array}\right] [/tex]
det [tex] C^{-1} [/tex] = ([tex] \frac{13}{11} [/tex]) ([tex] -\frac{24}{11}) [/tex] - ([tex] -\frac{10}{11}[/tex])([tex] \frac{7}{11} [/tex])