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  3. 2. lett:r3?r3suchthatt(?1,1,—1?)=?2,1,0]andt(?0,

2. LetT:R3?R3suchthatT(?1,1,—1?)=?2,1,0]andT(?0,1,1?)=?1,1,1?. (a) Find T(? 5,3-7?). (b) Can you find T (?1,0,0?) from the information given in part (a)?...

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Advance Math


2.LetT:R3?R3suchthatT(?1,1,—1?)=?2,1,0]andT(?0,1,1?)=?1,1,1?.
(a) Find T(? 5,3-7?).
(b) Can you find T (?1,0,0?) from the information given in part(a)? Explain.
(c) Suppose you are now told that T(?1,0,0?) = ?4,2,0?. Find the(standard) matrix of T and
compute T(?x,y,z?). Find a basis for range(T), the range of T.

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