= (4) Let A be an nxn matrix and x ER" a non-zero vector. Suppose we have a positive integer m such that Am x = 0 but AM
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= (4) Let A be an nxn matrix and x ER" a non-zero vector. Suppose we have a positive integer m such that Am x = 0 but AM
= (4) Let A be an nxn matrix and x ER" a non-zero vector. Suppose we have a positive integer m such that Am x = 0 but AM-1x +0. Show that X, Ac, A²x, ... , AM–1x - are linearly independent vectors.
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