Find the Determinant [[2,4],[6,8]]

Problem

det(2)

Solution

1. Identify the components of the 2×2 matrix ([a,b],[c,d]) where a=2 b=4 c=6 and d=8

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 to calculate the products.

a*d=2⋅8=16

b*c=4⋅6=24

4. Subtract the product of the secondary diagonal from the product of the main diagonal.

16−24=−8

Final Answer

det(2)=−8

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