Question: 1. Define g : M2x2 -> P2 by g d = (a + 2b)x2 - cr + 3d. (a) (5 points) Determine whether or not

1. Define g : M2x2 -> P2 by g d = (a + 2b)x2 - cr + 3d. (a) (5 points) Determine whether or not g is a linear transformation. If yes, show it satisfies the conditions for a linear transformation, or explain why it is not. (b) (5 points) If g is a linear transformation, find a matrix representation for this linear transformation. If not, make a small change to g in order to make it a linear transformation, and show that your new function is a linear transformation

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