Find the Determinant [[27,5],[20,5]]

Problem

det(27)

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=27 b=5 c=20 and d=5

3. Substitute the values into the determinant formula.

det(27)=(27)*(5)−(5)*(20)

4. Calculate the products.

(27)*(5)=135

(5)*(20)=100

5. Subtract the results to find the final value.

135−100=35

Final Answer

det(27)=35

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