Find the Determinant [[2,4],[-4,-5]]

Problem

det(2)

Solution

1. Identify the elements of the 2×2 matrix [[a,b],[c,d]] where a=2 b=4 c=−4 and d=−5

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 (2)*(−5)−(4)*(−4)

4. Multiply the terms to get −10−(−16)

5. Simplify the expression by adding the numbers to get −10+16=6

Final Answer

det(2)=6

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