. Question 4 0/10 pts 0 7 2 98 0 Details The spaces Po and Py represent all 2nd degree polynomials and all 3rd degree polynomials. Recall that a polynomial such as p(x) = 7 + 2x + 5a would be the vector in Py, and it would be in Py. The standard basis polynomials for these spaces are {1, x, x } and {1, x, x, x}}. The function F, defined by F(p(x)) = 4x . p(x), is a linear transformation from P2 to P3. 1. Write the matrix for this linear transformation according to the standard basis polynomials. [Hint: Find where the standard basis polynomials go under this transformation.] 2. Write the polynomial 6 + 1x + 9r as a vector. 3. Then, use your matrix from above to calculate F(6 + 1x + 9x ). Write your answer as a polynomial. Add Work Submit