Question: i need handwritten solution asap Below is a picture showing what happens when the function T : R? _> R2 is applied to a u

i need handwritten solution asap

Below is a picture showing what happens when the function T : R? _> R2 is applied to a "u" shaped set of vectors in the plane. 3 2 T T(C) T(d) 2 b 1 a T (b) T(a) -3 -2 -1, 2 3 3 -2 -1 1 2 3 Lu and Deno are discussing whether T is a linear transformation. Lu thinks: Yes. because, d - b = T(d) - T(b) and d - b = T(2) - T(b). etc.. T splits over linear combinations and so T is a linear transformation. Deno replies: I have a shorter argument! Because T takes parallel lines to parallel lines, T is a linear transformation. Explain to Lu and Deno, using complete English sentences, whether T is a linear transformation. Your explanation must (i) include relevant definitions, and (ii) point out where Lu's and Deno's reasoning is correct/incorrect

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