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2. (1 + 4 + 2.5 + 2.5 pts) Let T : R2 - R3 be a linear transformation such that T ( [=] )
2. (1 + 4 + 2.5 + 2.5 pts) Let T : R2 - R3 be a linear transformation such that T ( [=] ) 6 (a) Write as a linear combination of and NA (b) Compute the standard matrix of T. (c) Is T one-to-one? Explain why or why not, with a computation if needed. (d) Is T onto R3? Explain why or why not, with a computation if needed. 5 -17 5 3. (3 + 3 + 4 pts) Consider the matrix A = 3 -1 11 2 1 9 (a) Give a spanning set for Col(A). (b) Give an example of a non-0 vector in Col(A) that is different from the vector in (c) (c) Is the vector (19, -9, -1) in Col(A)? Explain
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