- #1
andrassy
- 45
- 0
Homework Statement
Let F be the vector space of all functions mapping R into R and let T: F -> F be a linear transformation such that T(e^2x) = x^2, T(e^3x) = sinx, and T(1) = cos5x. Find the following, if it is determined by the data.a. T(e^5x)
b. T(3e^4x)
c. T(3 + 5e^3x)
c. T((e^4x + 2e^5x)/e^2x)