# Matrix Representation: Linear Transformation

Please see the attached file for full problem description.

Let T be a linear operator on P_3 defined as follows:

T(ax^3 + bx^2 + cx + d) = (a - b)x^2 + (c - d)x + (a + b - c).

Write the matrix [T]_G which represents T with respect to the basis G which = {1 + x, 1 - x, 1 - x^2, 1 - x^3}. Show work.

https://brainmass.com/math/linear-transformation/12940

#### Solution Summary

A matrix is represented with respect to a basis. The solution is detailed and well presented.

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