Page 30 - 35Linear Algebra

30 What is Linear Algebra?

1.5 Review Problems

You probably have already noticed that understanding sets, functions and
basic logical operations is a must to do well in linear algebra. Brush up on
these skills by trying these background webwork problems:

Logic 1
Sets 2
Functions 3
Equivalence Relations 4
Proofs 5

Each chapter also has reading and skills WeBWorK problems:
Webwork: Reading problems 1 , 2

Probably you will spend most of your time on the following review questions:

1. Problems A, B, and C of example 3 can all be written as Lv = w where

L : V −→ W ,
(read this as L maps the set of vectors V to the set of vectors W). For
each case write down the sets V and W where the vectors v and w
come from.

2. Torque is a measure of “rotational force”. It is a vector whose direction
is the (preferred) axis of rotation. Upon applying a force F on an object
at point r the torque τ is the cross product r × F = τ:

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