MATH 220 Final: MATH220 Washington State PracticeFinal F13
Document Summary
Introduction to linear algebra (math 220 2) fall 2013. Explain: (10) let a and b be n n matrices. We say that a and b are similar if there is an invertible matrix p such that b = p 1ap . Show that if a and b t are similar, then a and b have the same eigenvalues: (10) let a + b and c be n n invertible matrices. C 1 (xb + xa)c = c t : (8) the matrix a = . 3 3 1 the eigenspace corresponding to the eigenvalue = 2: (9) let a = . 2 (a) if a is invertible, nd a 1. (b) if the inverse exists, use a 1 computed above to solve the system ax = b. 2: (7) construct a nonzero 3 3 matrix a with rank 2, and a vector b that is not in nul a, (8) let det a = 3 and det b = 2.
