For the system of linear equations 2 x - y + 3 z = 5 3 x + 2 y - z = 7 4 x + 5 y + α z = β , which of the following is NOT correct?

Step-by-step solution

Given, For the system of linear equations 2 x - y + 3 z = 5 3 x + 2 y - z = 7 4 x + 5 y + α z = β , Now finding, D = 2 - 1 3 3 2 - 1 4 5 α ⇒ D = 2 2 α + 5 + 3 α + 4 + 3 7 ⇒ D = 7 α + 35 Now we know that, for unique solution D ≠ 0 ⇒ α ≠ – 5 So, in option B α = – 6 corresponds to infinitely many solution, which is completely wrong hence, this is answer.