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 Post subject: Try Out: Matrixx Algebra!!Posted: Wed, 19 May 2010 06:15:43 UTC
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Joined: Sun, 29 Nov 2009 00:24:43 UTC
Posts: 40
#1
Given .
Defined

Then prove that

#2
Suppose ,
Show that -2 or 2 is/are eigen value/s of A.

#3
Given
If
Show that
And when det(A) = 0 ?

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 Post subject: Re: Try Out: Matrixx Algebra!!Posted: Wed, 19 May 2010 14:48:57 UTC
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Joined: Mon, 29 Dec 2008 17:49:32 UTC
Posts: 6005
Location: 127.0.0.1, ::1 (avatar courtesy of UDN)
GOKILL wrote:
#1
Given .
Defined

Then prove that

#2
Suppose ,
Show that -2 or 2 is/are eigen value/s of A.

#3
Given
If
Show that
And when det(A) = 0 ?

#1 The condition implies the eigenspaces are complementary, so ....

#2 is an eigvenvalue of A => is an eigenvalue of p(A), for all polynomial p(-)

#3 How are defined?

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