Question

In: Math

Consider the set of vectors S = {(1, 0, 1),(1, 1, 0),(0, 1, 1)}. (a) Does...

Consider the set of vectors S = {(1, 0, 1),(1, 1, 0),(0, 1, 1)}.

(a) Does the set S span R3?

(b) If possible, write the vector (3, 1, 2) as a linear combination of the vectors in S. If not possible, explain why.

Solutions

Expert Solution

Solution:

(a) Let be arbitary

Consider   

By

By

(b) Consider,   

we have,

   

Put

   


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