1. Multiply the matrix 5-1 3 4 7 -2 0 6) by each of the following vectors or state "not defined." 6 a. b. 3 2 2. For a homomorphism from the set if second degree or less polynomials to the set of third degree or less polynomials such that h(1) = 1 + x, h(x) = 1 + 2x, h(x) = x - x, what is the image of 2 - 6x + 4x? 2-15 10 30-0 3. Solve this matrix equation: 1 1 -3 2 4 1 y h: R R is determined by this action: (0-0) 0-8) 4. Assume that Using the standard bases, find (a) the matrix representing this map and (b) a general formula for h(v)