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dcfan S.O.S. Newbie
Joined: 30 Oct 2009 Posts: 2
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Posted: Fri, 30 Oct 2009 02:58:07 UTC Post subject: Matrix 3x3 to solve |
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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 S.O.S. Newbie
Joined: 30 Oct 2009 Posts: 2
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Posted: Wed, 4 Nov 2009 02:28:37 UTC Post subject: |
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| well nobody can do this? |
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Nona M. S.O.S. Oldtimer
Joined: 17 Apr 2008 Posts: 195
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Posted: Wed, 4 Nov 2009 12:25:31 UTC Post subject: |
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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!  |
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Matt Member of the 'S.O.S. Math' Hall of Fame

Joined: 01 Oct 2003 Posts: 8436 Location: Sacramento, CA
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Posted: Wed, 4 Nov 2009 17:45:55 UTC Post subject: Re: Matrix 3x3 to solve |
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| 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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