Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Intermediate Algebra Skill Solving 3 x 3 Linear System by Gaussian Elimination Solve the following Linear Systems of Equations by Gaussian Elimination: 4 x + 2 y − 6 z = 34 1) 2 x + y + 3z = 3 6 x + 3 y − 3z = 37 2 x − 4 y + z = 10 8) x + 2 y − z = 1 − x − 3 y + 2 z = 0 3x − y + z = −1 2) 2 x + 3 y + z = 4 5 x + 4 y + 2 z = 5 3x + y − z = 4 9) x + 2 y + 2 z = 5 4 x + y − z = 3 2 x + y + z = −2 3) 2 x − y + 3z = 6 3x − 5 y + 4 z = 7 5 x + 6 y − 5 z = −1 10) 3x − 4 y − 3z = 7 −2 x + 5 y + z = −4 6 x + 2 y − 4 z = 15 4) −3x − 4 y + 2 z = −6 4 x − 6 y + 3z = 8 2 x + 3z = 1 11) 3x − 5 y = 10 4 y − 3z = 13 3x + 3z = 0 5) 2 x + 2 y = 2 3 y + 3z = 3 3 y + 4 z = 6 12) 3x − 5 z = 3 2 x + 5 y = 2 x + 3 y − 3z = 12 6) 3x − y + 4 z = 0 − x + 2 y − z = 1 1 1 2 x + 3 y = 4 1 1 13) y − z = 1 4 2 1 1 4 x + 2 z = 5 x + y + z = 3 7) 2 x − y − z = 0 x + 2 y − z = −1 1 1 3 x − 3 z = −2 1 1 14) y + z = 7 3 6 2 1 3 x + 4 y = 9 Intermediate Algebra Skill Answers to Solving 3 x 3 Linear System by Gaussian Elimination 1) ( Dependent ) 2) ( −1,1,3) 3) ( −3,0,4) 4) 2, − 1 , −1 2 5) ( 0,1,0) 6) ( 3,1, −2) 7) (1,0,2 ) 8) (3, −1,0 ) 9) ( −1,5, −2) 10) ( −2, −1, −3) 11) ( 5,1, −3) 12) ( 6, −2,3) 13) ( 4,6,8) 14) ( 9,12,15)