Find the Determinant [[2,1],[3,2]]

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=1 c=3 and d=2

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.

det(2)=(2)*(2)−(1)*(3)

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

(2)*(2)−(1)*(3)=4−3

4−3=1

Final Answer

det(2)=1

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