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nin
Is this set a basis to R3? [1] [3] [0] [2] [2] [0] [3] [1] [1] What method is used? Thank You
For vectors to belong to the set of basis 1. they should be linearly independent 2. They should span the space R3.
Okay, would proving the determinant is non-zero be sufficient?
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
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?