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Is this set a basis to R3?
[1] [3] [0]
[2] [2] [0]
[3] [1] [1]
What method is used?
Thank You
 2 years ago
 2 years ago
Is this set a basis to R3? [1] [3] [0] [2] [2] [0] [3] [1] [1] What method is used? Thank You
 2 years ago
 2 years ago

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mathTalkBest ResponseYou've already chosen the best response.1
For vectors to belong to the set of basis 1. they should be linearly independent 2. They should span the space R3.
 2 years ago

ninBest ResponseYou've already chosen the best response.0
Okay, would proving the determinant is nonzero be sufficient?
 2 years ago

mathTalkBest ResponseYou've already chosen the best response.1
That would probably prove that they are linearly independent right? you will have to show that for any point (a,b,c) in R3 (a,b,c) = k1v1+k2v2+k3v3
 2 years ago

ninBest ResponseYou've already chosen the best response.0
Yes i see. Linear independence would be proved. After making Linear combinations would i then sub in a=0, b=0 and c=0 to see if k1=k2=k3=0?
 2 years ago
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