If A- 1 2 1- 0 -1 -1- 0 0 1 - then A100-

A^2=[ 1 amp; 2 amp; 1; 0 amp; 1 amp; 1; 0 amp; 0 amp; 1 nbsp; ][ 1 amp; 2 amp; 1; 0 amp; 1 amp; 1; 0 amp; 0 am ...

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Identity Matrix

If A=[ 1 2 1;...

Question

$If A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 1 0 & - 1 & - 1 0 & 0 & 1 \end{matrix} ⎤ ⎥ ⎦, then A^{100} =$

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If A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 1 0 & - 1 & - 1 0 & 0 & 1 \end{matrix} ⎤ ⎥ ⎦, then A^{100} =

For a positive integer $n,$ let $a (n) = 1 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} \dots + \frac{1}{2^{n} - 1}$ then

A = ⎡ ⎢ ⎢ ⎢ ⎢ ⎣ \begin{matrix} 1 & \frac{- 1 - i \sqrt{3}}{2} \frac{- 1 + i \sqrt{3}}{2} & 1 \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎥ ⎦

A^{100} =

A = ⎡ ⎢ ⎣ \begin{matrix} 0 & 0 & x 0 & x & 0 x & 0 & 0 \end{matrix} ⎤ ⎥ ⎦

A^{100} =

A = ⎡ ⎢ ⎣ \begin{matrix} 0 & 0 & x 0 & x & 0 x & 0 & 0 \end{matrix} ⎤ ⎥ ⎦

A^{100} =

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