If A - - 2 0 0- 0 2 0- 0 0 2 - then A6 -

The correct option is C 32A A = [ 2 amp;0 amp;0; 0 amp;2 amp;0; 0 amp;0 amp;2 ] = 2 [ 1 amp;0 amp;0; 0 amp;1 amp;0; 0 amp;0 a ...

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Multiplication of Matrices

If A = [ 2 ...

Question

If $A = ⎡ ⎢ ⎣ \begin{matrix} 2 & 0 & 0 0 & 2 & 0 0 & 0 & 2 \end{matrix} ⎤ ⎥ ⎦$ , then $A^{6} =$

6 A

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12 A

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16 A

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32 A

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Solution

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Factorise $32 a^{4} - 8 a^{2}$

c o t^{- 1} (2 a^{- 1} + a) + c o t^{- 1} (2 a^{- 1} + 3 a) + c o t^{- 1} (2 a^{- 1} + 6 a) + c o t^{- 1} (2 a^{- 1} + 10 a) +

12 a + 26 b - 4 b - 16 a

A = ⎡ ⎢ ⎣ \begin{matrix} 2 & 0 & 0 0 & 2 & 0 0 & 0 & 2 \end{matrix} ⎤ ⎥ ⎦,

A^{5}

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