JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

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Application +4 | -1

If the matrix

A=\left[\begin{array}{rr}1 & -1 \\ 1 & -2\end{array}\right]

satisfies the equation

A^n=5 I-8 A

, then

n

is equal to

View answer and explanation

Correct option: A

Option A (6) is correct because by finding a pattern in the powers of A, we can determine that

A^6 = 5I - 8A

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