(c) A nonresident operating a motor vehicle in this state, either personally or through an agent, is considered to acknowledge the appointment of the Secretary of State, or, as the case may be, his or her automobile insurance company, as his or her agent or attorney-in-fact, or the agent or attorney-in-fact of his or her administrator, administratrix, executor or executrix in the event the nonresident dies, and furthermore is considered to agree that any process against him or her or against his or her administrator, administratrix, executor or executrix, which is served in the manner provided in this section, shall be of the same legal force and validity as though the nonresident or his or her administrator, administratrix, executor or executrix were personally served with a summons and complaint within this state. Any action or proceeding may be instituted, continued or maintained on behalf of or against the administrator, administratrix, executor or executrix of any nonresident who dies during or subsequent to an accident or collision resulting from the operation of a motor vehicle in this state by the nonresident or his or her duly authorized agent.