SOLUTION: Please help me finish this problem Solve the system of equations using matrices. Thank you 3x-y-2z=1 4x+2y+z=5

SOLUTION: Please help me finish this problem Solve the system of equations using matrices. Thank you 3x-y-2z=1 4x+2y+z=5 > 6x-2y-4z=9 3 -1 -2=1

Question 735913: Please help me finish this problem
Solve the system of equations using matrices. Thank you
3x-y-2z=1
4x+2y+z=5 >
6x-2y-4z=9
3 -1 -2=1
4 2 1 = 5
6 -2 -4=9
R1=(1/3)R1
1 (-1/3) -6=1/3
4 2 1=5
6 -2 -4=9
R2=-4R1+r2
1 (-1/3) -6=(1/3)
0 (10/3) 25=(11/3)
6 -2 -4=9

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
given:

AMP Rendering Error of 'matrix(3, -1, -2, 1,
4, 2, 1, 5,
6, -2, -4, 9 ))'.

Row operation
1:

AMP Rendering Error of '(matrix( 3, -1, -2, 1,
4 , 2 , 1, 5,
6 , -2, -4, 9
)
)'. ....multiply the 1st row by 1/3
=> AMP Rendering Error of '(
matrix( 1, -1/3, -2 / 3, 1 / 3,
4 , 2 , 1, 5,
6 , -2 , -4 , 9
)
)'.
Row operation
2:
AMP Rendering Error of '(
matrix( 1, -1/3, -2 / 3, 1 / 3,
4 , 2 , 1, 5,
6 , -2 , -4 , 9
)
)'. .........add -4 times the 1st row to the 2nd row...=> AMP Rendering Error of '(
matrix( 1 , -1 / 3, -2 / 3, 1 / 3,
0 , 10 / 3, 11/ 3, 11/ 3,
6 , -2, -4, 9
)
)'.

Row operation
3:
AMP Rendering Error of '(
matrix( 1 , -1 / 3, -2 / 3, 1 / 3,
0 , 10 / 3, 11/ 3, 11/ 3,
6 , -2, -4, 9
)
)'. ..............add -6 times the 1st row to the 3rd row=>..AMP Rendering Error of '(
matrix( 1 , -1/ 3, -2 / 3, 1/ 3,
0 , 10 / 3, 11/ 3, 11 / 3,
0, 0 , 0 , 7
)
)'. .
Row operation
4:
AMP Rendering Error of '(
matrix( 1 , -1/ 3, -2 / 3, 1/ 3,
0 , 10 / 3, 11/ 3, 11 / 3,
0, 0 , 0 , 7
)
)'. ....multiply the 2nd row by 3/10..=>...AMP Rendering Error of '(
matrix( 1, -1/ 3, -2 / 3, 1 / 3,
0 , 1, 11 /10, 11 / 10,
0, 0 , 0 , 7
)
)'.

Row operation
5:
AMP Rendering Error of '(
matrix( 1, -1/ 3, -2 / 3, 1 / 3,
0 , 1, 11 /10, 11 / 10,
0, 0 , 0 , 7
)
)'. ...........multiply the 3rd row by 1/7...=>...AMP Rendering Error of '(
matrix( 1 , -1/ 3 , -2 / 3, 1 / 3 ,
0, 1 , 11 / 10, 11 / 10,
0 , 0 , 0, 1
)
)'.

Row operation
6:
AMP Rendering Error of '(
matrix( 1 , -1/ 3 , -2 / 3, 1 / 3 ,
0, 1 , 11 / 10, 11 / 10,
0 , 0 , 0, 1
)
)'. .....add -11/10 times the 3rd row to the 2nd row...>...AMP Rendering Error of '(
matrix( 1, -1/ 3, -2/ 3, 1/ 3,
0 , 1, 11/ 10, 0,
0 , 0 , 0 , 1
)
)'.

Row operation
7:
AMP Rendering Error of '(
matrix( 1, -1/ 3, -2/ 3, 1/ 3,
0 , 1, 11/ 10, 0,
0 , 0 , 0 , 1
)
)'. ....add -1/3 times the 3rd row to the 1st row...=>...AMP Rendering Error of '(
matrix( 1, -1 / 3, -2 / 3, 0,
0 , 1 , 11 / 10, 0,
0, 0, 0, 1
)
)'.

Row operation
8:
matrix( 1, -1 / 3, -2 / 3, 0,
0 , 1 , 11 / 10, 0,
0, 0, 0, 1
)
)}}}.......add 1/3 times the 2nd row to the 1st row....=>
matrix( 1, 0 , -3/ 10, 0
0 , 1, 11/ 10 , 0,
0 , 0, 0, 1
)
)}}}

so, your solutions ae: , , and
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