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#### Petrus

##### Well-known member

- Feb 21, 2013

- 739

Hello,

this is something basic I have hard to understand and would like to have help!

this is a exemple from My book and I Dont understand the input!

"Let \(\displaystyle T: P_2->P_2\) be the linear transformation defines by \(\displaystyle T(P(x))=p(2x-1)\)

I Dont understand how this work

\(\displaystyle T(1)=1, T(x)=2x-1, T(x^2)=(2x-1)^2\)

Edit: if i think correct they think like this \(\displaystyle T(1)=T(x^0)=(2x-1)^0=1\)

Regards,

\(\displaystyle |\pi\rangle\)

this is something basic I have hard to understand and would like to have help!

this is a exemple from My book and I Dont understand the input!

"Let \(\displaystyle T: P_2->P_2\) be the linear transformation defines by \(\displaystyle T(P(x))=p(2x-1)\)

I Dont understand how this work

\(\displaystyle T(1)=1, T(x)=2x-1, T(x^2)=(2x-1)^2\)

Edit: if i think correct they think like this \(\displaystyle T(1)=T(x^0)=(2x-1)^0=1\)

Regards,

\(\displaystyle |\pi\rangle\)

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