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In this paper, authors explore radiation hardening techniques through the design of a test chip implemented in 16 nm FinFET technology, along with architectural and redundancy design space exploration of its modules. Nine variants of matrix multiplication were taped-out and irradiated with neutrons. The results obtained from the neutron campaign revealed that the radiation hardened variants present superior resiliency when either local or global TMR schemes are employed. Furthermore, simulation-based fault injection was utilized to validate the measurements and to explore the effects of different implementation strategies on failure rates. We further show that the interplay between these different implementation strategies is not trivial to capture and that synthesis optimizations can effectively break assumptions about the effectiveness of redundancy schemes.