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1. Define a linear transformation
?1 2 1?
T : R3 ? R3 by T(x)=Ax where A= ??1 -1 1?? .
?? 2 1 1??
a) Find T(x) if x= ? 1 ?
?? -4 ??
b) For b= ?? 1 ?? , find x such that T(x)=b.
?? 4 ??
?1? ? ?
?1 ? ? ?
T : R ? R be a linear transformation such that T ? ? = ?1 ? ,and T ? ? = ?3?
?1? ?1 ?
? 2? ?1?
? ?1 ? ?
Find T ? ? ? ? or T ? ? (remember that as per our notation, they represent the
? ?0? ?
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