SOLUTION: Solve the system of equations using matrices.
3x - 2y + z = -7
x + y - 2z = 12
3x + y - z = 10
Algebra.Com
Question 62817: Solve the system of equations using matrices.
3x - 2y + z = -7
x + y - 2z = 12
3x + y - z = 10
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
Solve the system of equations using matrices.
3x - 2y + z = -7
x + y - 2z = 12
3x + y - z = 10
3 -2 1 -7
1 1 -2 12
3 1 -1 10
R1=R1/3
1 -0.666666667 0.333333333 -2.333333333
1 1 -2 12
3 1 -1 10
R2=R2-R1
1 -0.666666667 0.333333333 -2.333333333
0 1.666666667 -2.333333333 14.33333333
3 1 -1 10
R3=R3-3*R1
1 -0.666666667 0.333333333 -2.333333333
0 1.666666667 -2.333333333 14.33333333
0 3 -2 17
R2=R2/(5/3)
1 -0.666666667 0.333333333 -2.333333333
0 1 -1.4 8.6
0 3 -2 17
R3=R3-3*R2
1 -0.666666667 0.333333333 -2.333333333
0 1 -1.4 8.6
0 0 2.2 -8.8
R3=R3/2.2
1 -0.666666667 0.333333333 -2.333333333
0 1 -1.4 8.6
0 0 1 -4
R2=R2+1.4*R3
1 -0.666666667 0.333333333 -2.333333333
0 1 0 3
0 0 1 -4
R1=R1-R3/3
1 -0.666666667 0 -1
0 1 0 3
0 0 1 -4
R1=R1+2R2/3
1 0 0 1
0 1 0 3
0 0 1 -4
HENCE
X = 1 ; Y= 3 ; Z =-4
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