If A- 0 1- 1 0 - then A4-

The correct option is A [ 1 0; 0 1 ] Given, A=[ 0 amp;1; 1 amp;0 ] A^2=A× A=[ 0 amp; 1; 1 amp; 0 ][ 0 amp; 1; 1 amp; ...

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Multiplication of Matrices

If A=[ 0 1;...

Question

If $A = [\begin{matrix} 0 & 1 1 & 0 \end{matrix}]$ , then $A^{4} =$

[\begin{matrix} 1 & 0 0 & 1 \end{matrix}]

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[\begin{matrix} 1 & 1 0 & 0 \end{matrix}]

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[\begin{matrix} 0 & 0 1 & 1 \end{matrix}]

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[\begin{matrix} 0 & 1 1 & 0 \end{matrix}]

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Solution

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Similar questions

A = [\begin{matrix} 0 & 1 1 & 0 \end{matrix}]

A^{4} =

A = [\begin{matrix} 1 & 0 0 & 1 \end{matrix}]

B = [\begin{matrix} 0 & 1 1 & 0 \end{matrix}]

A = [\begin{matrix} 0 & 1 1 & 0 \end{matrix}]

A^{2}

{(\begin{matrix} 1 & 0 0 & 1 \end{matrix}) . (\begin{matrix} ω & 0 0 & ω^{2} \end{matrix}) . (\begin{matrix} ω^{2} & 0 0 & ω^{2} \end{matrix}) . (\begin{matrix} 0 & 1 1 & 0 \end{matrix}) . (\begin{matrix} 0 & ω^{2} ω & 0 \end{matrix}) . (\begin{matrix} 0 & ω ω^{2} & 0 \end{matrix}) .}

ω^{2} = 1, ω = 1

{\begin{matrix} [\begin{matrix} 1 & 0 0 & 1 \end{matrix}], [\begin{matrix} ω & 0 0 & ω^{2} \end{matrix}], [\begin{matrix} ω^{2} & 0 0 & ω \end{matrix}], [\begin{matrix} 0 & 1 1 & 0 \end{matrix}], [\begin{matrix} 0 & ω^{2} ω & 0 \end{matrix}], [\begin{matrix} 0 & ω ω^{2} & 0 \end{matrix}] \end{matrix}}

ω^{2} = 1, ω \neq 1

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