Question

1) Find a basis for the column space of A= 2 -4 0 2 1 -1...

1) Find a basis for the column space of A=

2 -4 0 2 1
-1 2 1 2 3
1 -2 1 4 4

2) Are the following sets vector subspaces of R3?

a) W = {(a,b,|a|) ∈ R3 | a,b ∈ R}

b) V = {(x,y,z) ∈ R3 | x+y+z =0}
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