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## Homework Statement

Given the matrix: A=[-2 0 0;4 -2 0;1 0 -2], find e^AT.

I found the eigenvalues to be -2,-2,-2.

How do I solve this problem with 3 identical eigenvalues? Do I cube to matrix after plugging in my eigenvalue -2 and then solve it that way?

After plugging in the eigenvalue -2, the resulting matrix is: [0 0 0;4 0 0;1 0 0]

I could eliminate the 1 from row 3,col 1 and end up with two free variables. I am unsure after this.