MATH 3510 Chapter Notes - Chapter 5: Row Echelon Form, John Wiley & Sons, Invertible Matrix
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Exercise set 1. 5: decide whether each matrix below is an elementary matrix. (a) (b) (c) (d) Add 3 times row 2 to row 1: Add 5 times row 1 to row 3: (a) (b) (c) (d) Add 4 times row 3 to row 1: in each part, an elementary matrix e and a matrix a are given. Write down the row operation corresponding to e and show that the product ea results from applying the row operation to a. (a) (b) (c) In exercises 7 8, use the following matrices: find an elementary matrix e that satisfies the equation. (a) (b) (c) (d) Answer: (a) (b) (c) (d: find an elementary matrix e that satisfies the equation. (a) (b) (c) (d) In exercises 9 24, use the inversion algorithm to find the inverse of the given matrix, if the inverse exists. In exercises 25 26, find the inverse of each of the following all nonzero. matrices, where.
