Explain why the jth column cj(k) of the matrix power Tk satisfies the linear iterative system cj(k+1)

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Explain why the jth column cj(k) of the matrix power Tk satisfies the linear iterative system cj(k+1) = Tcj(k) with initial data cj(0) = ej, the jth standard basis vector.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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