What Values of x Make Matrix B Singular?

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Homework Help Overview

The discussion revolves around determining the values of x that make the matrix B singular. The matrix is presented in a specific format, and participants are exploring the conditions under which it becomes singular.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the necessity of computing the determinant and discussing the conditions for a matrix to be singular. There is an emphasis on understanding the theoretical background before proceeding with calculations.

Discussion Status

Some participants have provided guidance regarding the determinant and its role in identifying singular matrices. There is an ongoing exploration of the theoretical aspects, with no explicit consensus reached on the approach to take.

Contextual Notes

There is a mention of the original poster's uncertainty about how to start the problem, and some participants are encouraging a review of the underlying theory related to matrix singularity.

carltonblues
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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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