 
Summary: LINEAR ALGEBRA (MATH 317H)
CASIM ABBAS
Review problems for exam #3
(1) Compute the characteristic polynomial of the following matrix, and find a
basis consisting of eigenvectors if possible
2 2 6
5 1 6
5 2 9
, = 2 is one of the eigenvalues
(2) Is it possible to orthogonally diagonalize the matrix
B =
2 2i
i 2
(which means finding a unitary matrix U and a diagonal matrix D such
that UDU
= B) ? If it is then do it. Otherwise explain why not.
(3) Find the best straight line fit (least square solution) to the points (2, 4), (1, 3), (0, 1), (2, 0)
