Ashwini posted an Question
September 17, 2020 • 21:43 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Q.36 suppose a, p,y e r. consider the following system of linear equations. x+y +z =a, x + by+z =y, x +y+ az =b. if this system has at least one solution, then

Q.36 Suppose a, p,y E R. Consider the following system of linear equations. x+y +z =a, x + By+z =Y, x +y+ az =B. If this system has at least one solution, then which of the following statements is (are) TRUE? (A) Ifa = 1 then y = 1 C) Ifß * 1 then a = 1 (B) Iff =1 then y =a (D) Ify =1 then a =1|

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    Deepak singh 1

    firstly convert these equations into matrix A and B , then make a augmented matrix , then do rows transformations to get echlon form , then for solution to be exist rank of A should be equal to rank of augmented matrix [A|B] ...and make combinations according to options.. then you will get your answer

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