MATH 2210Q Midterm: Test 2 Spring 2016 Solutions
Document Summary
Test 2 - practice questions: give a de nition of the following terms: (a) vector space (b) subspace (c) span{ ~v1, ~v2, . ~bn} (o) eigenvalue of a (p) eigenvector of a (q) eigenspace corresponding to (r) characteristic polynomial of a (s) multiplicity of an eigenvalue (t) similar matrices (u) diagonalizable. Solution: look in the book"s index to nd each term: give the de nition of the following vector spaces. Include what ~0 is in each space. (a) p3. The zero vector is the polynomial: 0. (b) r5. Solution: column vectors with 5 entries from the real numbers. Solution: all 3 by 2 matrices with entries in the real numbers. Solution: all positive real numbers where a b = a b and c a = ac. The zero vectors is: ~0 = 1: determine which vector spaces each set is a subset of.
