- Thread starter
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#### Petrus

##### Well-known member

- Feb 21, 2013

- 739

Hello,

Find a basis for subspace in \(\displaystyle P_3(\mathbb{R})\) that containrar polynomial \(\displaystyle 1+x, -1+x, 2x\) Also the hole ker T there \(\displaystyle T: P_3(\mathbb{R})-> P_3(\mathbb{R})\) defines of \(\displaystyle T(a+bx+cx^2+dx^3)=(a+b)x+(c+d)x^2\)

I am unsure how to handle with that ker.. I am aware that My bas determinant \(\displaystyle \neq0\) well I did try but I have no clue if I did correct.. And Also please tell me if I need to rotate the picture cause I cant se if it is wrong for pc!

I mean basis when I say bas in the picture!

Regards,

\(\displaystyle |\pi\rangle\)

Find a basis for subspace in \(\displaystyle P_3(\mathbb{R})\) that containrar polynomial \(\displaystyle 1+x, -1+x, 2x\) Also the hole ker T there \(\displaystyle T: P_3(\mathbb{R})-> P_3(\mathbb{R})\) defines of \(\displaystyle T(a+bx+cx^2+dx^3)=(a+b)x+(c+d)x^2\)

I am unsure how to handle with that ker.. I am aware that My bas determinant \(\displaystyle \neq0\) well I did try but I have no clue if I did correct.. And Also please tell me if I need to rotate the picture cause I cant se if it is wrong for pc!

I mean basis when I say bas in the picture!

Regards,

\(\displaystyle |\pi\rangle\)

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