Question

Problem 1. In each part solve the linear system using the Gauss-Jordan method (i.e., reduce the coefficent matrix to Reduced Row Ech- elon Form). Show the augmented matrix you start with and the augmented matrix you finish with. It's not necessary to show individual row operations, you can just hit the RREF key on your calculator 2x 1 + 3x2 + 2x3 = -6 21 +22-23 = -1 2.1 + 22 - 4.03 = 0 x + 3x2 + 4x3 = 2 22, +4.23 + x4 = -1 22 + 2x3 = 0 4x2 - 8x3 = 8

Answer 1

A) 2X,+389 +2x3 = -6 Xg+xzXy-| 2x, + 2q -48.3=0 Given system of eas by the matrix equ AXED, wh system of equs can be represented Thore 862 A-82327 1 1 -1 ) X = 12 1 -H] The Augumented matring is [AD] =(838-67 La 1-4 0] R, R, R₂ ri Q3-57 121 -4 0] Ra Ra - Ri R3 R3-QR, -11 23-57 Tot ry 4 Lo -3 -10 10 Rya) Ri42 R, R₂ R3-3Rq

no-53 30--44 Looq-2 Rg - R llo-53 lot-4 y m T R₂-) Pin y ari 0-5 37 1. Loole R - R, +5R3 R₂ → Ra-4R3 spoo- olo o Tool 4 Hence the solutions are x, =-2,42=0, x=1 Ri=n2 *2=0 - T