Final answer:
The destruction of the hair matrix would not result in the inability to produce oil, as oil is produced by the sebaceous glands, not the hair matrix.
Step-by-step explanation:
The statement that destruction of the matrix of the hair bulb would result in its inability to produce oil is false. The hair matrix contains a layer of basal cells which are responsible for the production of new hair cells, and it is part of the hair follicle. The oil production is actually done by the sebaceous glands, which are separate from the hair matrix.
Therefore, damage to the hair matrix will affect hair growth because the basal cells are crucial for producing new hair, not oil production. The oil-producing sebaceous glands are located near the hair follicle, but they are not part of the hair matrix. The sebaceous glands are responsible for producing oil, which helps keep the hair and scalp moisturized.