Question: 7. (3 pts. ) Consider the two vectors and . Do these vectors form a basis for R2? Choose the answer with the best justification.

7. (3 pts. ) Consider the two vectors and . Do these vectors form a basis for R2? Choose the answer with the best justification. (a) The vectors do not form a basis for R2, because they do not span R2. (b) The vectors do not form a basis for R, because they are not linearly independent. (c) The vectors do form a basis for R2, because any two linearly inde- pendent vectors in R' are necessarily a basis for R2. 1 (d) The vectors do form a basis for R2, because det = 0. -1

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