(Recommended) Suppose Ax = AX. If A = 0 then X is in the nUllspace. If A i 0 then x is

Chapter 6, Problem 26

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(Recommended) Suppose Ax = AX. If A = 0 then X is in the nUllspace. If A i 0 then x is in the column space. Those spaces have dimensions (n - r) + r = n. So why doesn't every square matrix have n linearly independent eigenvectors?

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