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Homework Statement
Let T: R2 -> R1 be given by T(x,y) = (y^2)x + (x^2)y.
Is T linear? justify your answer
Homework Equations
The Attempt at a Solution
Yes it is a linear mapping because both points map onto one point.
This is very distressing. Just about everything you say here is wrong. There are not two points being mapped to one. The single point (x,y) in R^{2} is mapped to a single point in R^{1}. But, in any case, that has NOTHING to do with being "linear". Please review the definition of "linear mapping". (It is basically what waht said.)Homework Statement
Let T: R2 -> R1 be given by T(x,y) = (y^2)x + (x^2)y.
Is T linear? justify your answer
Homework Equations
The Attempt at a Solution
Yes it is a linear mapping because both points map onto one point.