Question: 4. (20 points) Consider the system of equations Ar = . Suppose that the complete Solution of this system is a = 21 - 8-~[-]

4. (20 points) Consider the system of equations
4. (20 points) Consider the system of equations Ar = . Suppose that the complete Solution of this system is a = 21 - 8-~[-] where o is any scalar. (a) (2 pts) Find the order (or size ) of A. (b) (4 pts) Find a nonzero vector in C(A), the column space of A. (c) (4 pts) Find a basis of N(A), the nullspace of A. (d) (4 pts) Find rank A. (e) (6 pts) Find A

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