ORTHOGONALITY AND LEAST SQUARES

Orthogonal Vectors Norm Unit Vector Orthonormal Vectors Orthogonal Complement Orthogonal Projection Cauchy-Schwarz Inequality Angle Between Two Vectors Gram-Schmidt Process QR Factorialization Transpose Symmetric and Skew-symmetric Matrices Orthogonal Matrices Least Squares Solutions Matrix of an Orthogonal Projection

Unit Vector How to Examples Exercise How to: A unit vector is a vector with a norm of 1. To create a unit vector from ANY vector, we simply divide by its norm:      unitV = v / norm(v)      Examples: Given the vector v = [3; 1; 2; 3; 1], let's create a unit vector that goes in the same direction as v in R5:      unitV = v / norm(v) And so we get back that unitV = [0.6; 0.2; 0.4; 0.6; 0.2]. Exercise: