I'm stuck on part B. Maybe I am using the wrong fundamental matrix. How do we verify if X' = Ax. Ultimately how do we do part B and what is the fundamental matrix in part A

Problem 6. (6 pts) Consider the system x' = Ax where A = (a) (2 pts) find a fundamental matrix X(t) for this system (b) (2 pts) verify that X(t) satisfies X' = AX, and calculate X(0). (c) (2 pts) use (a) and (b) to calculate the matrix exponential elf