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If A = $\begin{bmatrix} 2 & 1 \\ 1 & 2 \end{bmatrix}$ find $A^{50}$.

Mumbai University > Electronics and Telecommunication > Sem 4 > Applied Maths 4

Marks: 6M

Year: May 2015

1 Answer
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The Characteristic Equation of A is

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Hence Corresponding to $\lambda$=1 the Eigen Vector is[1,-1]

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Hence Corresponding to $\lambda$=3 the Eigen Vector is[1,1]

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