In P find the change of coordinates matrix from the basis B = {1-3t, 2+t-5t, 1+2t}...

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In P₂ find the change of coordinates matrix from the basis B = {1-3t², 2+t-5t², 1+2t} to the standard basis C = {1, t, t²}. Then write t² as a linear combination of the polynomials in B. In P₂ find the change of coordinates matrix from the basis B = {1-3t², 2+t-5t², 1+2t} to the standard basis C = {1, t, t²}. Then write t² as a linear combination of the polynomials in B.