Lecture 3 Modeling.pdf

Review• Two vectors u and v are linearly independent– if αu+βv=0 then α=β=0• Two vectors u and v are orthogonal, I.e, θ=90 o– u•v=0 (I.e., u T v=0)• if two vectors u and v are orthogonal, then uand v are linearly independent– assume αu+βv=0, u≠0 and v≠0– u T (αu+βv)=0 --> α u T u+β u T v=0 --> αu T u=03-67