An electrical switching device including a plurality of magnetic microswitches organized in a matrix on a substrate and each includes a mobile element driven between two stable positions held under the effect of a magnetic field, the device being characterized in that it includes a network of crossed conducting lines, wherein magnetic microswitches are positioned near to intersections formed by the conducting lines. The passage of an electrical current, through two conducting lines commands a change in position of the mobile element of the magnetic microswitch situated at the intersection of the two conducting lines.