Find the Determinant [[3,8],[-1,3]]

Problem

det(3)

Solution

1. Identify the components of the 2×2 matrix [[a,b],[c,d]] where a=3 b=8 c=−1 and d=3

2. Apply the formula for the determinant of a 2×2 matrix, which is a*d−b*c

3. Substitute the values into the formula: (3)*(3)−(8)*(−1)

4. Simplify the expression by performing the multiplication and addition: 9 - (-8) = 9 + 8 = 17$.

Final Answer

det(3)=17

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