Page 177 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

Chapter 2

Supplementary Exercises

Use Cramer's rule to solve for and in terms of and .
1.

Use Cramer's rule to solve for and in terms of and .
2.

By examining the determinant of the coefficient matrix, show that the following system has a nontrivial solution if and

3. only if .

Let A be a matrix, each of whose entries is 1 or 0. What is the largest possible value for ?
4.

5.
(a) For the triangle in the accompanying figure, use trigonometry to show that

and then apply Cramer's rule to show that
(b) Use Cramer's rule to obtain similar formulas for and .

Figure Ex-5

Use determinants to show that for all real values of , the only solution of
6.