Find the Determinant [[5,7],[2,4]]

Problem

det(5)

Solution

1. Identify the elements of the 2×2 matrix, where the matrix is in the form [[a,b],[c,d]]

2. Apply the formula for the determinant of a 2×2 matrix, which is det(A)=a*d−b*c

3. Substitute the values a=5 b=7 c=2 and d=4 into the formula.

5⋅4−7⋅2

4. Calculate the products and subtract to find the final value.

20−14

6

Final Answer

det(5)=6

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