This paper presents a novel approach to integrating non-orthogonal multiple access (NOMA) within a multiple-input multiple-output (MIMO) framework, emphasizing new power allocation strategies designed to optimize multi-user communication efficiencies. The study introduces a unique MIMO-NOMA setup in which two users—categorized based on their signal strength as weak and strong—are served simultaneously by a single transmitter. This research offers a detailed comparison with traditional orthogonal multiple access (OMA) techniques, assessing key performance metrics such as achievable sum rates and outage probabilities. Utilizing advanced MATLAB simulations, the study evaluates system behaviour across various scenarios, highlighting the innovative aspects of MIMO-NOMA. The findings underscore that MIMO-NOMA not only surpasses MIMO-OMA in terms of sum rates by exploiting simultaneous transmissions but also significantly lowers outage probabilities for both user types. Concluding with an exploration of future enhancements, the paper specifically suggests implementing sophisticated beamforming techniques to further improve the performance and efficiency of MIMO-NOMA systems, marking a substantial advancement in the field.