So the question states:(adsbygoogle = window.adsbygoogle || []).push({});

Let A be a 6x6 matrix with characteristic equation (x^2)(x-1)(x-2)^3=0

What are the possible dimensions of eigenspaces of A?

so..

eigen values possible are

x=1,x=0,x=2

for x = 0

dimension 0?

for x = 1

I would say at dimension 0 or 1

x = 2

Dimension 0, 1, 2, 3

They have for x= 0

1 or 2

for x = 1

1 dimension

for x =2: 1,2,or 3

I am not sure how they got these answers. Any help would be appreciated.

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# Homework Help: Eigenspace of A?

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