Question

If 10, -3 and 0 are the Eugene values of 3x3 square matrix A then find the determinant and trace of A

Answer 1

Answer:

We know that, sum of the eigen values of a matrix is equal to the trace of the matrix.

Hence, Trace of A = 10 + (-3) + 0

= 7

And the product of the eigen values equals the determinant of the matrix.

Hence, Determinant of A is

|A| = 10 × (-3) × 0

= 0