Question

Given eigan value of matrix then find tracelf matrix

Answer 1

Answer:

The determinant of A is the product of the eigenvalues. The trace is the sum of the eigenvalues. We can immediately compute the characteristic polynomial in this case because A − λI5 is still upper triangular so that the determinant is the product of the diagonal entries. We see that the eigenvalues are 1, 2, 3, 4, 5.