STAT 4202 Lecture 9: 1.28.19

1. Let A be an 8 x 5 matrix such that the system Ax = 0 has only the trivial solution x = 0. What is the dimension of the row space of A ? (A) O (B) 3 (C) 5 (D) 7 (E) 8

[-21 [ 0 ] [ -2 are linearly independent if and only if 10. The vectors [ (A) k +-7, -3 1] I -8 [5+k] (B) k +0, (C) k = 0, (D) k -4, (E) k= -5

2. How many times is the condition of the while loop checked in the following code? int i = 0; while (i < 10) { System.out.println("Repeat!"); i++; (A) 11 (B) 1 (C) 0 (D) 9 (E) 10