Page 119 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

Chapter 1

Supplementary Exercises

Use Gauss–Jordan elimination to solve for and in terms of x and y.
1.

Use Gauss–Jordan elimination to solve for and in terms of x and y.
2.

Find a homogeneous linear system with two equations that are not multiples of one another and such that
3.

and
are solutions of the system.
A box containing pennies, nickels, and dimes has 13 coins with a total value of 83 cents. How many coins of each type
4. are in the box?
Find positive integers that satisfy
5.

For which value(s) of a does the following system have zero solutions? One solution? Infinitely many solutions?
6.

Let
7.

be the augmented matrix for a linear system. Find for what values of a and b the system has
(a) a unique solution.

(b) a one-parameter solution.