Meeting Professor Matsukawa changed my life.

Literal

Matsukawa-teacher [with-と][possessive-の] encounter [object-を] trigger [to-に], my life [topic-は] changed.

~をきっかけに 'triggered by, taking the opportunity of' — きっかけ means 'trigger, catalyst.' 出会い 'encounter, meeting' carries more weight than just 会うこと — it implies a fateful or significant meeting. 人生は変わった 'life changed' is simple but powerful.