Final exam study

Question 1

Characteristic polynomial

Answer 1

det(A - lambda*I)

Question 2

What is the constant term of the characteristic polynomial?

Answer 2

a0 = det(A-0*I) = the determinant when you plug in 0 for lambda

Question 3

When is it NOT possible to diagonalize a matrix?

Answer 3

If all the eigenvectors do not span the entire space of the domain