Find the Determinant [[63,16],[-16,63]]

Problem

det(63)

Solution

1. Identify the formula for the determinant of a 2×2 matrix [[a,b],[c,d]] which is a*d−b*c

2. Substitute the values a=63 b=16 c=−16 and d=63 into the formula.

3. Calculate the product of the main diagonal: 63×63=3969

4. Calculate the product of the off-diagonal: 16×(−16)=−256

5. Subtract the off-diagonal product from the main diagonal product: 3969 - (-256) = 3969 + 256$.

6. Simplify the final sum to find the determinant.

Final Answer

det(63)=4225

Want more problems? Check here!