Find the Determinant [[2,3],[5,6]]

Problem

det(2)

Solution

1. Identify the elements of the 2×2 matrix. For a matrix [[a,b],[c,d]] the elements are a=2 b=3 c=5 and d=6

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:

(2)*(6)−(3)*(5)

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

12−15=−3

Final Answer

det(2)=−3

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