Find the Determinant [[2,y-1],[x,z]]

Problem

det(2)

Solution

1. Identify the components of the 2×2 matrix, where the elements are a=2 b=y−1 c=x and d=z

2. Apply the formula for the determinant of a 2×2 matrix, which is defined as a*d−b*c

3. Substitute the values into the formula to get (2)*(z)−(y−1)*(x)

4. Distribute the x into the binomial (y−1) to simplify the expression.

5. Simplify the final expression by combining the terms.

Final Answer

det(2)=2*z−x*y+x

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