Let 𝑇 ∢ ℝ3 β†’ ℝ3 be a linear transformation satisfying

𝑇(1, 0, 0) = (0, 1, 1), 𝑇(1, 1, 0) = (1, 0, 1) and 𝑇(1, 1, 1) = (1, 1, 2).

ThenΒ 

1
𝑇 is one-one but 𝑇 is NOT onto
2
𝑇 is one-one and onto
3
𝑇 is NEITHER one-one NOR onto
4
𝑇 is NOT one-one but 𝑇 is onto
5
Question Not Attempted

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