MATH 2210Q Chapter Notes - Chapter 6: Invertible Matrix, Orthogonal Basis, Standard Basis

• School: UConn
• Department: Mathematics
• Course: MATH 2210Q
• Professor: Arthur Parzygnat

Document Summary

Inner product/dot product - u v = ut = 1 1 matrix. = s calar u v and are ut. 1 n is a n 1 matrix matrices. Thm 1: let u, v and w be vectors in. V = c u ( + v w = u w + v w cu) cv) u u 0 u = 0 if and only if. + cp p w = c1 (u. V = u ( u u = 0 u ) (u p w. || = v v = v v|| Unit vector - vector with length 1. | v|| uunit vector same direction of v = 1 v|| v. V ( v u v u in and are orthogonal if. The zero vector is orthogonal to every vector in n u|| + v||2 = u|| Thm 2: and are orthogonal if u v = 0. If a vector z is orthogonal to every vector in a subspace w of.