MATH 1502 Study Guide - Final Guide: Eastern Time Zone, Null Character, Diagonalizable Matrix

• School: Georgia Tech
• Department: Mathematics
• Course: MATH 1502
• Professor: Blekherman

Document Summary

Find the eigenvalues and corresponding eigenvectors to the matrix (cid:20) 1. 2. a show whether or not the set of vectors. V = { x = t is a subspace: given the vectors. Nd an orthonormal basis for v = span( x1, x2, x3): find the orthogonal projection of x , (a) find a basis for cola and nula of the following matrix. A = (b) find the dim(nul a) and ranka (c) find a basis for the nulat and col at . (cid:20) 1. Find and graph all the solutions to the equations a x = b where a = (cid:21) (cid:20) 1. Amoung the solutions to the part a. nd the one that is closest to the origin. What subspace is it perpendicular to: find the least squares solution to a x = b, where, a = 1: find the orthogonal complement to the subspace v = span( x1, x2) where x1 =