- #1
EvLer
- 458
- 0
Hello,
I have a homework problem I need some help with.
Given 3 matrices:
A = [1,2,1,2]^t
B = [2,3,-1,0]^t
C = [1,0,1,0]^t
I need to use test of independence to find out whether they are independent.
So, the matrix I ended up with is this
1 2 1 0
0 1 2 0
0 0 0 0
0 0 0 0
The answer says it's independent and I can see that from the original matrices. But I do not know how to proceed with the indep. test to prove that; for one thing, I have more equations than unknowns (I know they are all zeros, so I just disregarded the last row) and for another, if I make it a row-echelon form it looks like column 3 (not being a pivot matrix) is actually a lin. comb. of col.1 and 2 which means that the set is lin.dep.
Where did I go wrong? :yuck:
Thanks.
I have a homework problem I need some help with.
Given 3 matrices:
A = [1,2,1,2]^t
B = [2,3,-1,0]^t
C = [1,0,1,0]^t
I need to use test of independence to find out whether they are independent.
So, the matrix I ended up with is this
1 2 1 0
0 1 2 0
0 0 0 0
0 0 0 0
The answer says it's independent and I can see that from the original matrices. But I do not know how to proceed with the indep. test to prove that; for one thing, I have more equations than unknowns (I know they are all zeros, so I just disregarded the last row) and for another, if I make it a row-echelon form it looks like column 3 (not being a pivot matrix) is actually a lin. comb. of col.1 and 2 which means that the set is lin.dep.
Where did I go wrong? :yuck:
Thanks.
Last edited: