MATH 271 Final: MATH 271 Amherst M271f11 Final compact

• School: Amherst College
• Department: Mathematics and Statistics
• Course: MATH 271
• Professor: All

Document Summary

Find the matrix representation a = [t ]b2. Why or why not: (10 points) find the eigenvalues of the matrix. 2 0 2: consider the linear transformation la : r3 r3 given by left multiplication by the matrix. || ~w|| = 3. (a) (5 points) find h~v + 3 ~w, ~v 3 ~wi. (b) (5 points) suppose ~v is orthogonal to ~w. For each matrix that is in jordan canonical form, draw a box around each jordan block within that matrix. For each matrix that is not in jordan canonical form, clearly write not jcf next to the matrix. (a) . 0 0 0 0 1: (15 points) let v and w be vector spaces and t : v w be linear. , ~vn} is a basis for v and t is one-to-one and onto. T (b) = {t (~v1), t (~v2), .