Let $\displaystyle V = P_2$ and let $\displaystyle W$ be the real numbers.Show that the function defined by $\displaystyle L(at^2 + bt + c ) = abc$ is not a linear transformation.

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- Oct 20th 2012, 11:17 PMmastermin346Linear Transformation
Let $\displaystyle V = P_2$ and let $\displaystyle W$ be the real numbers.Show that the function defined by $\displaystyle L(at^2 + bt + c ) = abc$ is not a linear transformation.

- Oct 21st 2012, 12:00 AMchiroRe: Linear Transformation
Hey mastermin346.

What have you tried? Linearity only has two conditions where f(x+y) = f(x) + f(y) and f(ax) = af(x).