A flexible linear shaped charge for discharging a high speed jet to penetrate a target comprising an outer housing which includes a sheath and the high speed jet, the high speed jet being integral with the sheath, and an explosive core disposed within the outer housing between the sheath and the high speed jet, the outer housing comprising a low density matrix mixed with a high density heavy metal powder to increase the confinement of the explosive core, thereby improving the performance of the shaped charge.