Find the Determinant [[15,-44],[-27,32]]

Problem

det(15)

Solution

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

2. Substitute the values from the given matrix into the formula, where a=15 b=−44 c=−27 and d=32

3. Calculate the product of the main diagonal elements.

15⋅32=480

4. Calculate the product of the off-diagonal elements.

−44⋅−27=1188

5. Subtract the second product from the first product to find the final result.

480−1188=−708

Final Answer

det(15)=−708

Want more problems? Check here!