MHB Choose from the following set of vectors in R4

  • Thread starter Thread starter forzi
  • Start date Start date
  • Tags Tags
    Set Vectors
Click For Summary
The discussion revolves around identifying the maximum number of linearly independent vectors from a given set in R4. The user initially calculates the rank of the matrix formed by the vectors as 4 but struggles to apply this to the question. They conclude that vectors 2, 3, 4, and 5 are independent after omitting vector 1, which is a multiple of vector 2. Another participant suggests that vectors 1, 3, 4, and 5 could also be a valid independent set, indicating multiple correct answers. Ultimately, the user confirms their answer was correct, despite their uncertainty about the reasoning.
forzi
Messages
3
Reaction score
0
Hi everybody,

I have a problem with this question:
Choose from the following set of vectors in R4 set of the maximum number of linearly independent vectors:
1.(1;2;3;4) 2.(2;4;6;8) 3.(0;1;-1;1) 4.(1;1;1;0) 5.(0;3;0;0)

So, I can find a rank of a matrix, it's 4, but I can't understand how it could help me answering my question.

Would you please help me?
 
Mathematics news on Phys.org
I can just assume that cause second vector is equal 2*first vector, I can remove first vector from calculation and the answer will be 2,3,4,5
tBut it just an assumption.
 
Hi forzi and welcome to MHB! :D

I think you have the right idea but wouldn't one omit vectors 1. and 2.?
 
Hi greg

Thanks :)
I can't understand your question. But I can say that answer to my question is 2,3,4,5. I finished the test with this answer and it was right.
Have no idea why :confused:
 
Wouldn't vectors 1,3,4,5 be an equally good answer?
 

Similar threads

I Desymmetrization of a combinatorial set
  • · Replies 8 ·
Replies
8
Views
2K
I Solving simultaneous vector equations
  • · Replies 11 ·
Replies
11
Views
3K
I Principal difference between complex numbers and 2D vectors revisited
  • · Replies 24 ·
Replies
24
Views
3K
B Why is it Important that something is a vector space?
  • · Replies 10 ·
Replies
10
Views
5K
B Calculating the perfect tennis shot using vectors
  • · Replies 2 ·
Replies
2
Views
2K
I Label propagation equation: what are the terms?
  • · Replies 3 ·
Replies
3
Views
1K
I Vector subspace and basis vectors in the context of data science
  • · Replies 6 ·
Replies
6
Views
3K
A Rich "isotropic tensor" concept
  • · Replies 1 ·
Replies
1
Views
2K
MHB How can we construct the matrix S ?
  • · Replies 8 ·
Replies
8
Views
3K
Is this vector in the image of the matrix?
  • · Replies 4 ·
Replies
4
Views
2K