MATH 415 Study Guide - Final Guide: Stochastic Matrix, Geometric Group Action, Augmented Matrix

• School: University of Illinois
• Department: Mathematics
• Course: MATH 415
• Professor: J Li

Document Summary

Computations: compute the product of matrices ab from the de nition in which ab1 and ab2 are computed separately, with bi are the columns of b. (a) a = (b) a = (cid:20) 5 1 0. For (a), if we calculate ab1 and ab2 separately, we have. 6 0 1 (cid:21) (cid:20) 5 1 0. For (b), if we calculate ab1 and ab2 separately, we have and. 0(cid:21), what is ax? (a) if x = (cid:20)0. Ttutoring room (343 altgeld hall): monday 4-8pm, tuesday 6-8pm, wednesday 5-7, thursday 4-6. Piazza: https://piazza. com/class/j65464jkd255s (d) put a into echelon form. For (c): as we have shown in (1) and (2), if b = (cid:20)0. 2(cid:21), such that ax = b. in for x, namely (cid:20)0. 0(cid:21), there are at least two vectors we can plug. For (d), we put a into echelon form: We observe that there is only one pivot. 2 2(cid:21): let a = (cid:20)1 1.