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Determine whether the following systems are linear or not, y(n)=x(n2)+x(n2)
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Solution:

Output due to weighted sum of inputs:

y3(n)=ax1(n2)+bx2(n2)+ax1(n2)+bx2(n2)

y1(n)=x1(n2)+x1(n2)y2(n)=x2(n2)+x2(n2)

ay1(n)+by2(n)=ax1(n2)+ax1(n2)+bx2(n2)+bx2(n2)y3(n)=ay1(n)+by2(n)

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