G 1 (5 points) Given that A =   4 0 1 −2 1 0 −2 0 1   (i) Find the eigenvalues of A and its corresponding eigenvectors. (ii) Show that the eigenvectors you found are linearly independent in R 3 . Use only definition, nothing fancy. This is true in general, see Theorem 5.2.2, Page 304, but you cannot use this theorem in this problem.

Find the value of x to the nearest tenth. a. 4.5 b. 5.4 c. 6.3 d. 7.2

The lengths of two sides of a triangle are 9 and 15. what can be said about the length of the third side? a. it must be greater than or equal to 6 and less than 24. b. it must be greater than or equal to 6 and at most 24. c. it must be greater than 6 and less than 24. d. it must be greater than 6 and at most 24.

Acollege is selling tickets for a winter fund-raiser. one day, krissa sold 14 adult tickets and 8 student tickets for a total of $376. the next day, she sold 7 adult tickets and 11 student tickets for a total of $272. krissa wanted to find the price of one adult ticket, a, and the price of one student ticket, s. she wrote and solved the following system of equations.