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Suppose a matrix A satisfies A^2 - 5A + 7I = O. If A^5 = aA + bI then the value of 2a - 3b must be...

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Suppose a matrix A satisfies A2 - 5A + 7I = O. If A5 = aA + bI then the value of 2a - 3b must be... 

(a) 4135 

(b) 1435 

(c) 1453 

(d) 3145

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The correct option (c) 1453

Explanation:

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