1. Do Project 3. Specifically, create 4 matrices of various sizes (not too large, not all square), called A1, ..., A4. Use TRANSPOSE from the Matrix Operations menu to form their transposes and keep them as B1, ..., B4, form (and keep) the products C1 = A1B1, etc. and D1 = B1A1, etc. Choose PRINT, then ALL PRINT, from the Matrix Edit menu. Write your conjecture(s) and proof(s) on the same paper and hand it in.
2. Do Project 12. Create the matrices as indicated, up to size 6x6 (more if you wish) and use DETERMINANT (Matrix Operations again) to get their determinants. Note that the matrices are easily created if you choose SYMMETRIC when creating them, and if you only enter the nonzero entries. You needn't have them printed out, just record the results, then write your conjecture and prove it if you can.
