Pertanyaan

10. UTBK/PREDIKSI TPS/PK/2024 Jika matriks A=(} 1&4 2&3 maka m-n=ldots . A. -2 B. -1 C. o o E.

Solusi

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Jawaban

Here's how to solve the problem:**1. Find the square of matrix A:*** **2. Define the identity matrix:*** The identity matrix of order 2x2 is: **3. Substitute into the equation:*** The equation is: * Substitute the matrices: **4. Simplify the equation:*** This gives us: **5. Solve for m and n:*** By comparing corresponding elements, we get the following system of equations: * m + n = 9 * 4m = 16 * 2m = 8 * 3m + n = 17* Solving for m, we find m = 4.* Substituting m = 4 into the first equation, we find n = 5.**6. Calculate m - n:*** m - n = 4 - 5 = -1**Therefore, the answer is B. -1**