Optimizing machine learning (ML) workloads on structured data is a key concern for data platforms. One class of optimizations called "factorized ML" helps reduce ML runtimes over multi-table datasets by pushing ML computations down through joins, avoiding the need to materialize such joins. The recent Morpheus systemautomatedfactorized ML toanyML algorithm expressible in linear algebra (LA). But all such prior factorized ML/LA stacks are restricted by their chosen programming language (PL) and runtime environment, limiting their reach in emerging industrial data science environments with many PLs (R, Python, etc.) and even cross-PL analytics workflows. Re-implementing Morpheus from scratch in each PL/environment is amassive developability overheadfor implementation, testing, and maintenance. We tackle this challenge by proposing a new system architecture,Trinity, to enable factorized LA logic to bewritten only onceand easilyreused across many PLs/LA tools in one go. To do this in an extensible and efficient manner without costly data copies, Trinity leverages and extends an emerging industrial polyglot compiler and runtime, Oracle's GraalVM. Trinity enables factorized LA in multiple PLs and even cross-PL workflows. Experiments with real datasets show that Trinity is significantly faster than materialized execution (> 8x speedups in some cases), while being largely competitive to a prior single PL-focused Morpheus stack.