Determine whether S is a basis forR3.
S = {(4, 2, 5), (0, 2, 5), (0, 0, 5)}
S is a basis for R3.S isnot a basis for R3.
If S is a basis for R3, then writeu = (8, 2, 15) as a linear combination of thevectors in S. (Use s1,s2, and s3, respectively,as the vectors in S. If not possible, enterIMPOSSIBLE.)
u =
