MATH 240 Lecture Notes - Lecture 33: Dot Product

• School: Simon Fraser University
• Department: Mathematics
• Course: MATH 240
• Professor: Michael Monagan

Document Summary

As usual, we will post the solutions at 8:30pm. The final exam is on thursday december 6th at 8:30am in room swh 10081. For exercise 21 you are to prove theorem 1 parts (b) and (c). The text suggests converting dot products like u v into the matrix multiplication ut v so you can apply. Theorem 2 and theorem 3(b) from chapter 2. Then also, as a second proof, do the proofs from the de nitions for of the vector operations. For example, to prove for (u + v) w = u w + v w, use the de nition of vector + and vector dot product like this (u + v) w = ([u1, . 6. 2 exercises 10, 12, 13, 20, 23, 25, 27. Start by switching a dot product to a matrix multiplication, i. e. , use (u x) (u x) = (u x)t (u x).