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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.

- Thread starter affans
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- #1

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Let T: R2 -> R1 be given by T(x,y) = (y^2)x + (x^2)y.

Is T linear? justify your answer

Yes it is a linear mapping because both points map onto one point.

- #2

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f(ax) = a f(x) ; where "a" is some constant

and f(x+y) = f(x) + f(y)

see if your function satisfies these

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HallsofIvy

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Homework Helper

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This is very distressing. Just about everything you say here is wrong. There are not## 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.

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