Find the Determinant [[2,3],[2,5]]

Problem

det(2)

Solution

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

2. Assign the values from the given matrix: a=2 b=3 c=2 and d=5

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

4. Substitute the values into the formula: (2)*(5)−(3)*(2)

5. Simplify the expression by performing the multiplication and subtraction: 10 - 6 = 4$.

Final Answer

det(2)=4

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