Determine which are linear operators

hank

Junior Member
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Sep 13, 2006
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Determine which of the following are linear operators:

T(x,y) = (x, 1 + y)
T(x,y) = (y,x)

I have a couple questions.
How do I read this notation?
How do I test each to see if they are linear operators?
 
You should have a Linearity Property, probaly something like this T(A+B) = T(A) + T(B).

How do you read the notation?! Sorry, but you should have covered this in Algebra 1. It requires only substitution of the arguments on the left into the formulation on the right. In this case, there are two inputs, a point (x,y), if that familiarity comes to mind.
 
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