SOLUTION: Write the system of equations as a matrix equation. Then solve the system, if possible, by using a matrix equation. If not possible, classify the system. 2x+6y=-36 2x+6y=-29

Algebra ->  Matrices-and-determiminant -> SOLUTION: Write the system of equations as a matrix equation. Then solve the system, if possible, by using a matrix equation. If not possible, classify the system. 2x+6y=-36 2x+6y=-29      Log On


   

Question 50798: Write the system of equations as a matrix equation. Then solve the system, if possible, by using a matrix equation. If not possible, classify the system.
2x+6y=-36
2x+6y=-29
Answer by AnlytcPhil(1810) About Me  (Show Source):
You can put this solution on YOUR website!
Write the system of equations 
as a matrix equation. Then solve the 
system, if possible, by using a 
matrix equation. If not possible, 
classify the system. 

     2x + 6y = -36
     2x + 6y = -29

     æ2 6öæxö _ æ-36ö   	
     è2 6øèyø ¯ è-29ø   

That's the matrix equation. We would 
normally multiply both sides by the 
inverse of the matrix on the left.
However, in this case, the matrix on 
the left is singular, i.e., it has no 
inverse since its determinant is 
12-12 or 0.  Such a system is either
inconsistent or dependent.

This system is classified as inconsistent 
since it has no solution. We can tell
that because 2x + 6y cannot equal both -36 
and -29.

Edwin