We construct and investigate certain (unbalanced) superalgebra structures on End_ (V), with K a field of characteristic 0 and V a finite dimensional K-vector space (of dimension n ≥ 2). These structures are induced by a choice of non-degenerate symmetric bilinear form B on V and a choice of non-zero base vector w ∈ V. After exploring the construction further, we apply our results to certain questions concerning integer matrix factorization and isometry of integral lattices.