Question: 17. Consider a linear transformation T : R2 - R. Suppose v and u are two vectors in R and that w is a third

17. Consider a linear transformation T : R2 - R. Suppose v and u are two vectors in R and that w is a third vector whose endpoint is on the line segment connecting the two endpoints of u and v. Must the endpoint of T (w ) be on the line segment connecting the endpoints of T (v ) and T (u ) (i.e. does a linear transformation map a line to a line?)? Explain. Sketching a picture or pictures may also help

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