Hello Everyone, I hope someone can help me; I am stuck on this problem! Please, explain your answer so I can follow, and be clear so I can understand. Thanks! v1= |1| |2| v2= |2| |3| v3= |2| |4| v4= |1| |1| v5= |3| |6| u0= |1| |0| |0| u1= | 1| | 2| |-1| u2= | 2| | 1| |-3| u3= |-1| | 4| | 3| u4= |4| |4| |0| u5= |1| |1| |0| Eq. (6): Vx = 0 Use Eq. (6) to determine whether the given set of vectors is linearly independent or linearly dependent. If the set is linearly dependent, express one vector in the set as linear combination of the others. a. {v1, v3} b. {v2, v3} c. {u2, u4, u5} d. {u0, u2, u3, u4} e. {v1, v2, v3} f. {v2, v3, v4} g. {u0, u1, u2, u4} Now, consider the sets of vector in a-g. Using Theorem 11, determine by inspection which of these sets are known to be linearly dependent. _________________________________________________________ If you answered the question, and looking for the bonus points for answering this long question..go onto this post and post \"answered =)\" ill awarded you the points! http://www.cramster.com/answers-oct-11/algebra/ignorethis-meant-answeringif-don_1568683.aspx?rec=0 Solution v1,v2,v3,v4,v5 are linearly independent u0,u1,u2,u3,u4,u5 are linearly independent a)v1= |1 2| v3=|2 4| v3=2.v1 hence dependent b)v2 and v3 are independent c)u2,u4,u5 dependent as 0.u2 + 1.u4 = 4.u5 d)dependent as u2+u3+5/4 . u4 +4u0=0 =>4u2 + 4u3 + 5u4 + 16u0 = 0 e)v1,v2,v3 independent f)v2,v3,v4 dependent as 2(v2-v4)=v3 => 2v2 - v3 - 2v4 = 0 g)u0,u1,u2,u4 are independent .

1. Hello Everyone,
I hope someone can help me; I am stuck on this problem! Please, explain your answer so I can
follow, and be clear so I can understand. Thanks!
v1=
|1|
|2|
v2=
|2|
|3|
v3=
|2|
|4|
v4=
|1|
|1|
v5=
|3|
|6|
u0=
|1|
|0|
|0|
u1=
| 1|
| 2|
|-1|
u2=
| 2|
| 1|
|-3|
u3=
|-1|
| 4|
| 3|
u4=

2. |4|
|4|
|0|
u5=
|1|
|1|
|0|
Eq. (6): Vx = 0
Use Eq. (6) to determine whether the given set of vectors is linearly independent or linearly
dependent. If the set is linearly dependent, express one vector in the set as linear combination of
the others.
a. {v1, v3}
b. {v2, v3}
c. {u2, u4, u5}
d. {u0, u2, u3, u4}
e. {v1, v2, v3}
f. {v2, v3, v4}
g. {u0, u1, u2, u4}
Now, consider the sets of vector in a-g. Using Theorem 11, determine by inspection which of
these sets are known to be linearly dependent.
_________________________________________________________
If you answered the question, and looking for the bonus points for answering this long
question..go onto this post and post "answered =)" ill awarded you the points!
http://www.cramster.com/answers-oct-11/algebra/ignorethis-meant-answeringif-
don_1568683.aspx?rec=0

3. Solution
v1,v2,v3,v4,v5 are linearly independent u0,u1,u2,u3,u4,u5 are linearly independent a)v1= |1 2|
v3=|2 4| v3=2.v1 hence dependent b)v2 and v3 are independent c)u2,u4,u5 dependent as 0.u2 +
1.u4 = 4.u5 d)dependent as u2+u3+5/4 . u4 +4u0=0 =>4u2 + 4u3 + 5u4 + 16u0 = 0 e)v1,v2,v3
independent f)v2,v3,v4 dependent as 2(v2-v4)=v3 => 2v2 - v3 - 2v4 = 0 g)u0,u1,u2,u4 are
independent