Question: 2. Decide if the following statement is True or False: Let V be a vector space, and let T : V } R be a

2. Decide if the following statement is True or False: Let V be a vector space, and let T : V } R be a linear transformation. Suppose that Joy are linearly independent vectors in V, and that T): 2 and Ty g. Then there exists a nonzero vector z E V Such that Tz 0. Indicate your nal answer by lling in exactly one circle below (unlled 0 lled C] and justify your choice with a proof or counter example. [4 marks] 0 True 0 False

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