2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67891We prove that the Hausdorff dimension of the set of badly approximable systems of m linear forms in n variables over the field of Laurent series with coefficients from a finite field is maximal. This is a analogue of Schmidt's multi-dimensional generalisation of Jarnik's Theorem on badly approximable numbers.Revised versionNumber Theory11J83; 11J13Badly approximable systems of linear forms over a field of formal seriestext