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Is there a linear transformation T: R3 R2 such that T(l, 0,3) = (1,1) and T(-2,0,-6 ) =

Chapter 2, Problem 12

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QUESTION:

Is there a linear transformation T: R3 R2 such that T(l, 0,3) = (1,1) and T(-2,0,-6 ) = (2,1)?

Questions & Answers

QUESTION:

Is there a linear transformation T: R3 R2 such that T(l, 0,3) = (1,1) and T(-2,0,-6 ) = (2,1)?

ANSWER:

Step 1 of 2

Given that  defined by and

Assume that  is the linear transformation,

From the definition of linear transformation

For  and  be vector spaces We call a function is a linear transformation from  to  if, for all  in  and  in scalar field, we have

(a)

(b)

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