STAT 507 Lecture 23: Nov 8

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

3.(bola) let n = ( ) (1 2 3 3. (8pts) Let A= 2 4 6 14 8 12 (a) Solve the homogeneous system AX = 0. (1)