MATH 415 Study Guide - Final Guide: Permutation Matrix, Triangular Matrix, Elementary Matrix
6 Jan 2021
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Computations: for the following matrices a and b, nd an elementary matrix e such that ea = b. Express the rows of b in terms of the rows of a. 1: suppose a is a matrix with rows a = . , b = such that b = e3e2e1a. 1 0 0: find an lu factorization for the following matrices. (1) (cid:20) 2 (2) (3) . 4 (1) show that a = lu . Tutoring room (343 altgeld hall): monday 4-8pm, tuesday 6-8pm, wednesday 5-7, thursday 4-6. Piazza: https://piazza. com/class/j65464jkd255s (2) let ai be the submatrix obtained by taking the rst i rows and the rst i columns of a, for i = 1, 2, 3, i. e. , Solve the equation ax = b without reconstructing. A. (1) l = (2) l = . 2: find the inverses of the following matrices or show that the matrix is not invertible: 5 4(cid:21) (3) (4) (6) (5)
