Show that if A is diagonalizable, with all eigenvalues

Chapter , Problem 10E

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QUESTION:

Problem 10E

Show that if A is diagonalizable, with all eigenvalues less than 1 in magnitude, then Ak tends to the zero matrix as . [Hint: Consider Akx where x represents any one of the columns of I .]

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QUESTION:

Problem 10E

Show that if A is diagonalizable, with all eigenvalues less than 1 in magnitude, then Ak tends to the zero matrix as . [Hint: Consider Akx where x represents any one of the columns of I .]

ANSWER:

Solution 10E

As

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