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If Y^98 (a raised to the power of 5) = 0 and Y is a 97-square matrix. Determine the value of Y^97.

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If Y^98 (a raised to the power of 5) = 0 and Y is a 97-square matrix. Determine the value of Y^97.

(a) I+Y

(b) -Y+3

(c) 0

(d) Y^2

I had been asked this question in homework.

Asked question is from Permutation Groups topic in portion Groups of Discrete Mathematics

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Correct answer is (c) 0

To elaborate: Question does not provide any notion of existing an inverse property or related to rank matrix. Hence, by considering zero matrix as Y and that satisfy all the constraints.

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