This is the first part of a four-part problem. Let P = 2e3t – 6e -4e3t + 2e 1(t) = [3et 2(t) = -6e3t + 5e] 15et a. Show that j1(t) is a solution to the system i' = Pỹ by evaluating derivatives and the...

Extracted text: This is the first part of a four-part problem. Let P = 2e3t – 6e -4e3t + 2e 1(t) = [3et 2(t) = -6e3t + 5e] 15et a. Show that j1(t) is a solution to the system i' = Pỹ by evaluating derivatives and the matrix product 9 = 15 Enter your answers in terms of the variable t. b. Show that ğa(t) is a solution to the system j' = Pj by evaluating derivatives and the matrix product = Enter your answers in terms of the variable t. 8 ]- [8 ]