Math 1b Final Review Questions Due 3:00pm, Monday, March 9, 2009 We will discuss some of these topics on the review session Wednesday. You dont have to do all these problems; just look them over. You can also raise other topics and questions. We wont have
Math 1b Matrix Multiplication If A has rows ai and B has columns bj , then AB has, by denition, ai bj as the entry in row i and column j . It is the matrix of dot products. Here are some simple properties and facts about matrix multiplication. These rules
Math 1b Prac Bases for, and dimensions of, subspaces of Rm January 23, 2009 It is fundamental in linear algebra that all bases of a subspace have the same number of vectors. In these notes, we establish this for subspaces of Rm . This can be seen quickly
Math 1b Prac Rowspaces, nullspaces, orthogonal spaces January 23, 2009 [As usual, the notes I post on the web are sketchy and more of an outline. Some more details in class.] Subspaces of Rn arise, as an oversimplication, in two ways: either as the span o
Math 1b Prac Orthogonal bases, orthogonal projection January 29, 2009 expanded February 11, 2009 [This is an outline of material I want to cover before starting Chapter 4 of the text. Examples and motivation will be given in class.] We will write x, y for