Find the Determinant [[4,8],[4,0]]

Problem

det(4)

Solution

1. Identify the components of the 2×2 matrix [[a,b],[c,d]] where a=4 b=8 c=4 and d=0

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 calculate the product of the main diagonal and the product of the off-diagonal.

det(4)=(4)*(0)−(8)*(4)

4. Simplify the expression by performing the multiplication and subtraction.

(4)*(0)−(8)*(4)=0−32

0−32=−32

Final Answer

det(4)=−32

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