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If A=[(5, -6),(1,-1)] then the value of ...

If `A=[(5, -6),(1,-1)]` then the value of `("det"(A^(m)-5A^(m-1)))/("det"(A^(n)-5A^(n-1)))(m, "n" in N)` is

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The correct Answer is:
1
`"det"(A^(mu-1)(A-5I))="det"(A^(mu-1))."de"(A-51)`
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