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Matrix 3x3 to solve

 
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dcfan
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Joined: 30 Oct 2009
Posts: 2

PostPosted: Fri, 30 Oct 2009 02:58:07 UTC    Post subject: Matrix 3x3 to solve Reply with quote

Hello all...

I have this matrix A:

-1;2-m;m-3 square matrix 3x3
-1;-1;-2
m;3;2


1.Show (proof) that A is reversable if and only if m is not {1,3}

2. Solve equation AX = 0 in M3,1 in function of m

3. Deduct of it the solution of equations in function of m

Thx for the help, I tried Gauss-Jordan simplification but I am not able to simplify enough
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dcfan
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Joined: 30 Oct 2009
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PostPosted: Wed, 4 Nov 2009 02:28:37 UTC    Post subject: Reply with quote

well nobody can do this?
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Nona M.
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Joined: 17 Apr 2008
Posts: 195

PostPosted: Wed, 4 Nov 2009 12:25:31 UTC    Post subject: Reply with quote

I think you mean the matrix to be as follows:

. . . . .

But I'm afraid I'm not clear on the rest. Does "proof" mean "prove"? What is meant by "reversible"? What does the "{1,3}" notation indicate? What is meant by solving a matrix equation "in function of m"? What is the meaning of part (3) of the exercise?

When you reply, please include a clear listing of your steps and reasoning so far. Thank you! Wink
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Matt
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Joined: 01 Oct 2003
Posts: 8436
Location: Sacramento, CA

PostPosted: Wed, 4 Nov 2009 17:45:55 UTC    Post subject: Re: Matrix 3x3 to solve Reply with quote

dcfan wrote:
1.Show (proof) that A is reversable if and only if m is not {1,3}

Find the determinant of A.
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