singular matrix

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?

SpaceTiger

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

Why compute the determinant ???Do you know the condition a matrix must fulfil,in order to be singular...?

Daniel.

Galileo

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

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

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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carltonblues	singular matrix 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?

dextercioby Blog Entries: 9 Recognitions: Homework Help Science Advisor	Why compute the determinant ???Do you know the condition a matrix must fulfil,in order to be singular...? Daniel.