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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(choose chapter or problem)
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)