Final answer:
The input vector u for the state space equations is u = [p₁, 2p₂], where p₁ and p₂ are the inputs to the system.
Step-by-step explanation:
The input vector u for the given state space equations can be written down by identifying the elements that act as inputs to the system. In the provided equations, the system inputs are p₁ and p₂, which constitute the elements of the input vector. Therefore, the input vector u showing its elements is u = [p₁, 2p₂].
The input vector u can be written as:
u = [p₁, p₂]
where p₁ and p₂ are the elements of the system inputs.