Math 314 Exam 1 Print Name
1. ( 10) Use GaussJordan reduction to solve the following system of linear equations:
x12x2X3-33JC4 = 0,
2x1+4x2+SX3m5x4 2. 3,
3x176x2~6m+8m : 2.
1212P'6?® [4% 3 0' wars
32b
Review for midterm 2
314 Linear Algebra
3.3 Linear independence
Def.
A set of vectors ~1 , ~2 , . . . , ~n in a vector space V are linearly independent if
vv
v
c1 ~ 1 + c2 ~ 2 + + cn ~ n = ~ ,
v
v
v
0