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...

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.

Expert Solution

Colby Messinger answered 2 years ago

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Question

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...

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Expert Solution

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