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## Main Question or Discussion Point

Hi,

Just say you are given a 3x3 matrix with a value k in it. What would be the best way to find out if it is diagonalizable or not for certain values of k? The matrix in question is

-1 0 0

k 1 0

-2 1 -1

Just say you are given a 3x3 matrix with a value k in it. What would be the best way to find out if it is diagonalizable or not for certain values of k? The matrix in question is

-1 0 0

k 1 0

-2 1 -1