Find the Determinant [[-6,-44],[-1,32]]

Problem

det(−6)

Solution

1. Identify the formula for the determinant of a 2×2 matrix [[a,b],[c,d]] which is a*d−b*c

2. Assign the values from the given matrix: a=−6 b=−44 c=−1 and d=32

3. Substitute these values into the determinant formula.

(−6)*(32)−(−44)*(−1)

4. Multiply the terms to find the products.

−192−44

5. Subtract the values to find the final result.

−236

Final Answer

det(−6)=−236

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