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Jika A=([4,2],[-1,3]),B=([2,-1],[1,3]), dan matriks C memenuhi C=AB, nilai det C=dots. A. 8 D. 18 B. 12 E. 22 C. 15

Jika A=(42−13),B=(2−113) A=\left(\begin{array}{cc}4 & 2 \\ -1 & 3\end{array}\right), B=\left(\begin{array}{cc}2 & -1 \\ 1 & 3\end{array}\right) , dan matriks C C memenuhi C=AB \mathrm{C}=\mathrm{AB} , nilai det⁡C=… \operatorname{det} \mathrm{C}=\ldots .\newlineA. 88\newlineD. 1818\newlineB. 1212\newlineE. 2222\newlineC. 1515

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Q. Jika A=(42−13),B=(2−113) A=\left(\begin{array}{cc}4 & 2 \\ -1 & 3\end{array}\right), B=\left(\begin{array}{cc}2 & -1 \\ 1 & 3\end{array}\right) , dan matriks C C memenuhi C=AB \mathrm{C}=\mathrm{AB} , nilai det⁡C=… \operatorname{det} \mathrm{C}=\ldots .\newlineA. 88\newlineD. 1818\newlineB. 1212\newlineE. 2222\newlineC. 1515
  1. Calculate Matrix Product: Calculate the product of matrices AA and BB to find matrix CC.C = A \times B = \left(\begin{array}{cc}4 & 2\-1 & 3\end{array}\right) \times \left(\begin{array}{cc}2 & -1\1 & 3\end{array}\right)C = \left(\begin{array}{cc}4\times 2 + 2\times 1, 4\times (-1) + 2\times 3\-1\times 2 + 3\times 1, -1\times (-1) + 3\times 3\end{array}\right)C = \left(\begin{array}{cc}8 + 2, -4 + 6\-2 + 3, 1 + 9\end{array}\right)C = \left(\begin{array}{cc}10, 2\1, 10\end{array}\right)
  2. Find Determinant: Find the determinant of matrix CC.det C=(10)(10)−(2)(1)\text{det } C = (10)(10) - (2)(1)det C=100−2\text{det } C = 100 - 2det C=98\text{det } C = 98

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