(4) Let A be an n x n matrix and r ER" a non-zero vector. Suppose we have a positive integer m such that Amr=0 but Amr0.
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(4) Let A be an n x n matrix and r ER" a non-zero vector. Suppose we have a positive integer m such that Amr=0 but Amr0.
(4) Let A be an n x n matrix and r ER" a non-zero vector. Suppose we have a positive integer m such that Amr=0 but Amr0. Show that - x, Ax, A²x, Ama *** are linearly independent vectors.
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