The system of linear equations x + y + z = 2 , 2x + 3y + 2z = 5 , 2x + 3y + (a2 – 1)z = a + 1
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Correct option is inconsistent when |a|=3
Solution::
D=|11123223a2−1|
D=1(3a2−3−6)−1(2a2−2−4)+1(6−6)
D=3a2−9−2a2+6
D=a2−3
∴|a|=3
inconsistent when |a|=3
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