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申論題資訊

試卷:無年度 - 主題課程_線性映射:判斷線性#107849
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申論題內容

Let Y be the vector space of 2x2 mattices with real entries, and P3 the vector space of real polynomials of dogree 3 or less. Detine the linear transformation T: V → P3 by 
627de6fe12822.jpg== 2a+(6-d)t-(a+c)x2+(a+6-c-d)x3
Find the rank and nullity of T.