linear algebra

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Oct 29, 2009, 07:01 AM

sagar12345

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Join Date: Oct 2009

Posts: 5

linear algebra

Let A be a 3*3 matrix with eigenvalues 1,-1 and 3.then

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Oct 29, 2009, 07:05 AM	#2
sagar12345 New Member Join Date: Oct 2009 Posts: 5	Find the critical points of the function f(x,y)=x^3+y^2-12x-6y+40 test each of these for maximum and minimum
sagar12345 New Member Join Date: Oct 2009 Posts: 5

Oct 29, 2009, 08:20 AM	#3

galactus

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Join Date: Sep 2006

Location: Chaneysville, Pa.

Posts: 1,660

Quote:

Originally Posted by sagar12345

Let A be a 3*3 matrix with eigenvalues 1,-1 and 3.then

Then?. What are you supposed to do?.

Find the characteristic polynomial?. I don't know.

A 3 by 3 matrix will have a cubic as a charpoly.

$({\lambda}+1)({\lambda}-1)({\lambda}-3)={\lambda}^{3}-3{\lambda}^{2}-{\lambda}+3$

Do you have to find the eigenvectors?. Let us know what you need to do. We are good, but not mindreaders.

Oct 29, 2009, 08:21 AM	#4

galactus

Mathematics Expert

Join Date: Sep 2006

Location: Chaneysville, Pa.

Posts: 1,660

Quote:

Originally Posted by sagar12345

Find the critical points of the function f(x,y)=x^3+y^2-12x-6y+40 test each of these for maximum and minimum

Assistance given in other post regarding same problem.

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