Questions
If the system of equations ,,,,has a non-trivial solution, then
detailed solution
Correct option is B
From first and third equation (b – 1)x = 0If b≠1, x = 0In this case y + z = 0, by + z = 0⇒ (b-1)y=0 ⇒y=0Thus , z = 0 That is, if b ≠1, then the system has only trivial solution.∴b=1From first and second equation (a – 1) x = 0.If a≠1, x = 0 and y + z = 0In this case the system has infinite number of solution If a=0 all the three equations become identical to x + y + z=0 and the system has infinite number of solutions. b=1⇒(b-1)2=0⇒b2=2b-1Similar Questions
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