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Question

Let A=[iiii],i=1 then, the system of linear equations A8[xy]=[864] has:

A
Infinitely many solutions
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B
A unique solution
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C
Exactly two solutions
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D
No solution
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Solution

The correct option is D No solution
A=[iiii]A2=[iiii][iiii]=[2222]=2[1111]A4=4[1111][1111]=4[2222]=8[1111]A8=64[1111][1111]=64[2222]=128[1111]128[1111][xy]=[864]128[xyx+y]=[864]128(xy)=8xy=116(1)
and
128(x+y)=64xy=12(2)
From (1) and (2) no solution exists

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