Find the Determinant [[2,1],[1,2]]

Problem

det(2)

Solution

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

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 (2)*(2)−(1)*(1)

4. Simplify the expression by performing the multiplication and subtraction to find the final value.

Final Answer

det(2)=3

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