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AP EAMCET · Maths · Matrices

The solution of the linear system of equations 223711065xyz=3y+116z-15y+11+xx4z+z3x4y is

  1. A x=4, y=-3, z=2
  2. B x=2, y=1, z=1
  3. C x=1, y=-1, z=2
  4. D x=2, y=-4, z=3
Verified Solution

Answer & Solution

Correct Answer

(A) x=4, y=-3, z=2

Step-by-step Solution

Detailed explanation

It is given that 223711065xyz=3y+116z-15y+11+xx4z+z3x4y Solve the above matrix 2x+2y+3z7x+y+z6y+5z=3y+x+z+113x+x+6z-15y+4y+4z+11 2x+2y+3z7x+y+z6y+5z=x+3y+z+114x+6z-19y+4z+11 On comparing x-y+2 z=11 ⇒3x+y-5z=-1 ⇒-3 y+z=11 From the above three equations…