Solve the following system of linear equations by Crammer’s rule

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

Q 1Solve that the following system of linear equations by (i) Gauss Elimination method (ii) Gauss 

      Jordan method   2x+y-z = 6,x-2y-2z = 1, -x+12y+8z = -7

Q 2: Solve the following system of linear equations by Crammer’s rule

          2x+y+5z = 4, 3x-2x+2z = 2, 5x-8y-4z = 1

Q 3: Solve the following system of linear equations by LU-Factorization method.

          2x-y-5z = 3, 3x+y-5z = 0, 4x-y+z = 3

Q 4: Show that the following system of linear equations has trivial and non-trivial solution .

          2x-y-5z = 0, 3x+y-5z = 0, 4x-y+z = 0

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