Sage CSLT Composition of Surjective Linear Transformations

As we mentioned in the last section, experimenting with Sage is a worthwhile complement to other methods of learning mathematics. We have purposely avoided providing illustrations of deeper results, such as Theorem ILTB and Theorem SLTB, which you should now be equipped to investigate yourself. For completeness, and since composition will be very important in the next few sections, we will provide an illustration of Theorem CSLTS. Similar to what we did in the previous section, we choose dimensions suggested by Theorem SLTD, and then use randomly constructed matrices to form a pair of surjective linear transformations.