Find the Determinant A=[[9,-6],[4,7]]

Problem

det(9)

Solution

1. Identify the elements of the 2×2 matrix A=[[a,b],[c,d]] where a=9 b=−6 c=4 and d=7

2. Apply the formula for the determinant of a 2×2 matrix, which is det(A)=a*d−b*c

3. Substitute the values into the formula to get (9)*(7)−(−6)*(4)

4. Simplify the expression by performing the multiplications to get 63 - (-24)$.

5. Calculate the final result by adding the terms to get 63 + 24 = 87$.

Final Answer

det(9)=87

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