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[" The system of linear equations "],[x+y+z=2],[2x+3y+2z=5],[2x+3y+(a^(2)+1)z=a+1],[(1)" is inconsistent when "a=4],[" (3) is inconsistent when "|a|=sqrt(3)]quad [" (2) has infinitely many solutions for "a=4],[" (3) is inconsistent when "|a|=sqrt(3)]

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