Find the Determinant [[7,5],[4,3]]

Problem

det(7)

Solution

1. Identify the components of the 2×2 matrix [[a,b],[c,d]] where a=7 b=5 c=4 and d=3

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 (7)*(3)−(5)*(4)

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

21−20=1

Final Answer

det(7)=1

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