Find the Determinant

Problem

det(2)

Solution

1. Identify the formula for the determinant of a 2×2 matrix [[a,b],[c,d]] which is a*d−b*c

2. Assign the values from the given matrix: a=2 b=√(,5) c=√(,5) and d=5

3. Substitute these values into the determinant formula.

det(2)=(2)*(5)−(√(,5))*(√(,5))

4. Simplify the products by calculating 2×5=10 and √(,5)×√(,5)=5

10−5

5. Subtract the results to find the final value.

10−5=5

Final Answer

det(2)=5

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