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## Homework Statement

An elastic membrane in the x1x2-plane with boundary circle x1^2 + x2^2 = 1 is stretched so that point P(x1,x2) goes over into point Q(y1,y2) such that y = Ax with A = 3/2* [2 1 ; 1 2] find the principal directions and the corresponding factors of extension or contraction of the elastic deformation. Sketch the shape of the deformed membrane.

## Homework Equations

det(A-lambda*I) = 0

(A-lambda*I)x = 0

## The Attempt at a Solution

Using det(A-lambda*I) = 0

I got

lambda = 4.5

lambda = 0

Using (A-lambda*I)x = 0

I got eigenvectors

x2*[1;1]

x2*[-.5;1]

What do I do next?

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