Question

X MATH433BHW#1Rev... Nam MATH Li Alba Alamat Review Elementary Row Operations Stade Southern University ARM College DUE Monday, FehO2000 Solve cach of the following systems. First represent their system with w matris. These stary o perations to determine the listach wp of your process a ted case 2x - - x - 3 3x + 3x - 4x = 7 2x + 3x2 + x + 3x = 6 2. Which of the following matrices are in row echelon form? Which are in reduced row echelon form? 1 1 1 2 3 4 lo 0 1 2 100 ẽ là 0. 1 4 6 lo 01 0 1 31 ܘܘ ܝ ܘܚܣ 1 0 0 1 2 8 0 1 0 241 10 o 136 0 1 34 jo 01 31 Jo 0 0 0 Page 1 of 2

Answer 1

@ 2,- 2*2 = 5 - 3x + x2 = 1 Matrix representation is ( $ )x= B, whore, x=(:) and B=(5) appiging now of cassation on A= (1-2) A = (-3) R-38 (-3) 3 M RRY - x,- 2x2 = 5 7 x2 =-14 x2 = -2 x = 5 + 2x2 = 56 al 2, + 2*2- X3 = 1 204 - X2 - xz = 3 - X + 2x2+322= 7. matorix presentation is Ax=B. whese A= ( 2-11 12-1-1 1 2 3 we apply now ofcopation on A. A 2-1 R2 = R2 - 2R 112-11 21-1 lo-5 1 1 2 3 Rs = R₃ +R R3 = R3-R2 I 2011 To-5 I lo 14 o - ( 1 2 0-5 :))-(1)-()-() 1 1 X2 - MH ² \014 23 x + 2x -xz = 2 - 5x2 + x3 = 1 14x2 -06 x2 = 1 3 / x3 = 3 +542 = 3 + 5x3 = 2 x = 1 taz-2x2 = AZ t1=17 = 37

x2 + x3 + xy = 0 3x + 3xz-y xy =7 + a2 + x3 + 2xy = 6 271 +372 +33 +374 = 6 commesponding matrix depresentation 0 1 1 1 3 0 3 -4 x = ののの CY Augmented matssix is 0 1 2 2:0 3 0 3 -4:7 ILI 2:6 2 3 1 3:6 0 t t noo 1 1 1 286 3 o 3-4 oz 0 2 1 1 0 1 II 2 86 3 O 3 -4 : 7 2 3 I 3 :6, 1 2 2 2 :6 1 1 1 2 6 o II 1:0 0 0 -3 1 1 1 i o 0 -10 % - o 1 -1 -) -6 o 2 OO :-6) system of equation become 2, +32 +33 +234 = 6 x2 + x3 + xy = 0 - 302 - 10x4 =-11 2x2 = - 6 coooce N - x2 =-3 – 1oxy =-11+32 = = - 20 ay - 2 x3 = -xu-a2 = – 2 +3 = 2 x = 6-2 - az-2xy I = 6+ 3-1-4 ☺ ☺ Ti 2 347 lo 0 1 2 it is a row echelon forom as weu seduced now echelon foram.