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Answer to Question #54561 in Linear Algebra for Akanimo
Question #54561
Find z by the use of determinant:
3x-4y+2z+8=0
x+5y-3z+2=0
5x+3y-z+6=0
3x-4y+2z+8=0
x+5y-3z+2=0
5x+3y-z+6=0
Expert's answer
Find z by the use of determinant:
3x-4y+2z+8=0
x+5y-3z+2=0
5x+3y-z+6=0
Solution
According Cramer's rule
| 3 -4 2|
D = det| 1 5 -3|= 120
| 5 3 -1|
| 3 -4 -8|
Dz =det | 1 5 -2| = 24
| 5 3 -6|
z=Dz/D = 5
3x-4y+2z+8=0
x+5y-3z+2=0
5x+3y-z+6=0
Solution
According Cramer's rule
| 3 -4 2|
D = det| 1 5 -3|= 120
| 5 3 -1|
| 3 -4 -8|
Dz =det | 1 5 -2| = 24
| 5 3 -6|
z=Dz/D = 5
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