Find the Determinant det [[-5,x],[6,1]]

Problem

det(−5)

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=−5 b=x c=6 and d=1

3. Substitute these values into the determinant formula.

det(−5)=(−5)*(1)−(x)*(6)

4. Simplify the resulting expression by performing the multiplications.

det(−5)=−5−6*x

Final Answer

det(−5)=−5−6*x

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