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Singular matrix

by carltonblues
Tags: matrix, singular
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carltonblues
#1
Mar14-05, 10:16 PM
P: 15
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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SpaceTiger
#2
Mar14-05, 10:20 PM
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Quote Quote by carltonblues
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?
dextercioby
#3
Mar15-05, 12:45 PM
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Why compute the determinant ???Do you know the condition a matrix must fulfil,in order to be singular...?

Daniel.

Galileo
#4
Mar15-05, 01:01 PM
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Singular matrix

Quote Quote by dextercioby
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.
dextercioby
#5
Mar15-05, 01:03 PM
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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.
carltonblues
#6
Mar15-05, 06:33 PM
P: 15
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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