MATH 230 Final: STAT 230 Amherst S17Stat230Final

• School: Amherst College
• Department: Mathematics and Statistics
• Course: MATH 230
• Professor: All

Document Summary

May 10, 2016: (10 points) let w = span { ~u1, ~u2, ~u3}, where. 0 (a) find an orthonormal basis for w . (b) find the projection of ~u = : (16 points) let a = . 1 2 2 (a) find the reduced row echelon form of a. 3 on v = span { ~u1, ~u2}. (note that v 6= w . ) (b) find a basis for the column space of a. (c) find a basis for the row space of a. (d) show that b = . Justify your answer. (note: you do not need to write down the full diagonalization. ) (a) a = . 0 0 1 (b) b = : (10 points) let a ="0. 5 1. 1 the transformation from v to the space m2 2(r) of 2 2 matrices, given by: (10 points) let v be the subspace of r3 given by v = span . T for v and the basis ("1 0.