This preview shows page 1. Sign up to view the full content.
Unformatted text preview: a free variable). 2. Find the general solution of the following system of equations. x 2 + 3 x 3 =22 x 13 x 25 x 3 =4 x 1 + 2 x 2 + 4 x 3 = 1 We write the augmented matrix for this system and reduce it to reduced echelon form. 1 322354 1 2 4 1 1 2 4 1 1 322354 1 2 4 1 0 1 32 0 1 32 1 2 4 1 0 1 32 0 0 0 1 02 5 0 1 32 0 0 . So the basic variables are x 1 and x 2 , and x 3 is free. The equations are: x 12 x 3 = 5 x 2 + 3 x 3 =2 In general form the solution set is given by: x 1 = 2 x 3 + 5 x 2 =3 x 32 x 3 is free....
View
Full
Document
 Spring '03
 F,newberger
 Math

Click to edit the document details