Storing information in a linear system is theoretically possible, as these systems can utilize memory to combine current and past input samples. However, the superposition principle limits their capacity, as continuous input application can lead to data loss. Linear systems are primarily designed as filters, producing outputs based on summed inputs. While they can retain some information temporarily, their effectiveness for long-term storage is questionable. Overall, linear systems are not ideal for reliable information storage due to their inherent limitations.