Find the Determinant det [[-1,6],[-2,6]]

Problem

det(−1)

Solution

1. Identify the components of the 2×2 matrix [[a,b],[c,d]] where a=−1 b=6 c=−2 and d=6

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: (−1)*(6)−(6)*(−2)

4. Simplify the expression by performing the multiplication: −6−(−12)

5. Calculate the final result by adding the terms: −6+12=6

Final Answer

det(−1)=6

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