問題詳情

Let Y be the vector space of 2x2 mattices with real entries, and P3 the vector space of realpolynomials of dogree 3 or less. Detine the linear transformation T: V → P3 by 

==2a+(6-d)t-(a+c)x2+(a+6-c-d)x3. Find the rank and nullity of T.

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