Find x: Solving the Matrix B

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In summary, the values for which the matrix B is singular are x=9 and x=-4. This is determined by finding the determinant of the matrix and using the quadratic equation to solve for x.
  • #1
carltonblues
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0
Determine all values for x for which the
matrix B =

| x 3 -1|
|9/2 x 3|
| -2 1 1|

No idea where to start. Any help?
 
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  • #2
carltonblues said:
Determine all values for x for which the
matrix B =

| x 3 -1|
|9/2 x 3|
| -2 1 1|

No idea where to start. Any help?

You mean the values for which it's singular? Do you know how to take a determinant?
 
  • #3
Why compute the determinant ?Do you know the condition a matrix must fulfil,in order to be singular...?

Daniel.
 
  • #4
dextercioby said:
Why compute the determinant ?Do you know the condition a matrix must fulfil,in order to be singular...?

Daniel.
It is singular precisely when its determinant is zero.
 
  • #5
I had a hunch you knew that,Galileo.I was just hoping that the OP would check the theory before attempting to solve the problem.

Daniel.
 
  • #6
Figured it out. Just got the determinent and used quadratic equation to see when x=9 and x=-4, the matrix is singular
 

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