Find the Determinant A=[[24,3],[-2,-16]]

Problem

det(24)

Solution

1. Identify the elements of the 2×2 matrix A=[[a,b],[c,d]] where a=24 b=3 c=−2 and d=−16

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.

det(A)=(24)*(−16)−(3)*(−2)

4. Multiply the terms.

(24)*(−16)=−384

(3)*(−2)=−6

5. Subtract the results to find the final value.

−384−(−6)=−384+6

−384+6=−378

Final Answer

det(24)=−378

Want more problems? Check here!