L: P_{2}--> M_{22}given by

L(ax^3 + bx^2 + cx + d) = Matrix

-3a - 2c -b + 4d 4b - c + 3d -6a - b + 2d

For this linear transformation, what is the matrix for L with respect to the standard bases?

Is it the 4x4

?

-3 0 -2 0 0 -1 0 4 0 4 -1 3 -6 -1 0 2

Thanks,