Question

I am not exactly sure how the answer to problem 2. Lecture 2 on Pascal matrix was performed based on the lecture appreciate assistance,

Answer 1

Problem 2 on Pascal matrix has 2 parts. 1. Try and think of what row or rows you could add to each row to form the new row. For instance, R1 is 1 0 0 0. If I add 1 R1 + 0R2 + 0R2 + 0 R4 , I get a new row 1 that is exactly them same, 1 0 0 0.
Another, hopefully better example. R4 is 1 3 3 1. You want it to be 0 1 2 1. What rows could you add together to get that? Well, if you start with 1 R4 and add -1 R3, you will get 0 1 2 1. You don't need anything else, just -1 R3 and 1 R4. So your 4th row of E will be 0R1 + 0R2 + -1 R3 + 1R4, or 0 0 -1 1, which is hte last row of E. Hope this helped.