Show that an n x n matrix has the property ak 0 for k m
Show that an n x n matrix has the property Ak = 0 for k ≥ m if and only if A has eigenvalues 0 with multiplicity n and index m or less. Such a matrix is called a nilpotent matrix.
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show that an n x n matrix has the property ak 0 for k ge m if and only if a has eigenvalues 0 with multiplicity n and
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