In parts a, b, and c, determine if the vectors form a basis forthe given vector space. Show all algebraic steps to explain youranswer.
a. < 1, 2, 3 > , < -2, 1, 4 > for R^3
b. < 1, 0, 1 > , < 0, 1, 1> , < 2, 0, 1 > forR^3
c. x + 1, x^2 + 1, x^2 + x + 1 for P2 (R).
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