$$B = \left\{1-x^{2},2x,1+2x+3x^{2} \right\} \; and\; B' = \begin{Bmatrix} \begin{bmatrix} 1\\-1 \end{bmatrix} \begin{bmatrix} 2\\0 \end{bmatrix} \end{Bmatrix} is \; [L]^{B'}_{B} = \begin{bmatrix} 2 &-1 &3 \\ 3&1 & 0 \end{bmatrix}$$ Let L be a linear transformation : $$L : P_{2}\rightarrow R^{2}$$

I have to find the matrix L with respect to the standard basis of $P_{2}$ and $R^{2}$

i stuck also with the change of basis matrix from the standard basis ( 1 , x , x^2) of $P_{2}$ to the basis B

Much appreciated , thanks in advance


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.