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abrar_hunza
.show that the following are spanning sets for R3 {(1,1,1)transpose (1,1,0)transpose (1,0,0)transpose}
any coordinate in R3 (a,b,c) can be given in terms of linear combination of the three vectors...
but how to find linear combination
x + y + z = a x + y = b x = c y = b - c z = a - b hence linear combination is (a - b)(1,1,1) + (b-c) (1,1,0) + c(1,0,0) for any (a,b,c)