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+1 vote
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asked in Mathematics by (67.6k points)

The system of linear equations

x + y + z = 2

2x + 3y + 2z = 5

2x + 3y + (a2 – 1)z = a + 1

(1)  is inconsistent when a = 4

(2)  has infinitely many solutions for a = 4

(3)  has a unique solution for | a| = 

(4) is inconsistent when |a| = 3

1 Answer

+1 vote
answered by (71.6k points)

Correct option  (4) is inconsistent when |a| = 3

Explanation:

since if a2  ≠ 3 then only it will have unique solution. So at a = 4 unique solution exist.

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