Math 220 Written Assignment 12 Circle your section: Name: Math 220-01 (10:35-11:25) ID#: Math 220-02 (1:25-2:15) Math 220-03 (9:10-10:00) I prefer that you submit your answers on a printed copy of this document, like it's a quiz or exam. However, you may instead rewrite the questions by hand before solving them. Staple sheets together, in order. Be neat. Always give enough work and clear explanation so that fellow students could follow what you did (from start to finish) just by reading your paper. 1. Solve text exercise #14 from section 6.2: 2 7 Let y = and u = . Write y as the sum of a vector in Span{u} and a vector orthogonal to u. 6 1 That is, Find vectors x and w such that x Span{u}, w u, and y = x + w. 2. Prove parts (b) and (a) of Theorem 7 in section 6.2 (page 345) of our text. 3. Suppose U is mn and V is np. Use Theorem 6 from 6.2 to help you prove that if U has orthonormal columns and V has orthonormal columns, then (U V ) has orthonormal columns