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#1 2008-05-14 07:27:19
- LuisRodg
- Real Member
- Registered: 2007-10-23
- Posts: 322
Linear Algebra
Show that if A is symmetric nonsingular, then A^-1 is also symmetric. A is a matrix in R^(nxn)
Last edited by LuisRodg (2008-05-14 07:28:18)
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#2 2008-05-14 10:25:48
- Ricky
- Moderator
- Registered: 2005-12-04
- Posts: 3,791
Re: Linear Algebra
Are you allowed to use properties of the transpose? Specifically:
Cause then:
Now we just focus on the very ends:
And hence:
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."
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