Let A he an n x n matrix with positive real cigenvalucs Icirc raquo 1 Icirc raquo 2 Icirc raquo n Let xi he an eigenvector belonging to Icirc raquo i, for each i, and let x a1x1 anxn a b show that Am 7x r0 1 1 If 1, show that lim A k xi

Question: Let A he an n x n matrix with positive real cigenvalucs Î»1 > Î»2 >...... >Î»n. Let xi he an eigenvector belonging to Î»i,

Let A he an n x n matrix with positive real cigenvalucs Î»1 > Î»2 >...... >Î»n. Let xi he an eigenvector belonging to Î»i, for each i, and let x = a1x1 +........ + anxn.
a.

show that Am. 7x r0 1-1 If = 1, show that lim A"k=.xi.

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