Question: [20 points] Let T : R - R be a linear transformation. Suppose that u and v are linearly independent, but T(u) and T(v) are

[20 points] Let T : R" - R" be a linear transformation. Suppose that u and v are linearly independent, but T(u) and T(v) are dependent. (i) [18 points] Prove that T(x) = 0 has a non-zero solution. (ii) [2 points] Is it possible that T is onto? Why or why not

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