What Values of x Make Matrix B Singular?

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The discussion focuses on determining the values of x that make matrix B singular. A matrix is singular when its determinant equals zero. Participants emphasize the importance of calculating the determinant to find these values. The solution reveals that the matrix is singular when x equals 9 and -4. Understanding the determinant is crucial for solving similar problems in linear algebra.
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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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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?
 
Why compute the determinant ?Do you know the condition a matrix must fulfil,in order to be singular...?

Daniel.
 
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.
 
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.
 
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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