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    Maths-
    General
    Easy

    Question

    The number of solutions of the equations x plus 4 y minus z equals 0 comma 3 x minus 4 y minus z equals 0 comma x minus 3 y plus z equals 0 is

    1. 0    
    2. 1    
    3. 2    
    4. Infinite    

    The correct answer is: 1

      The given system of homogeneous equations has capital delta equals open vertical bar table row 1 4 cell negative 1 end cell row 3 cell negative 4 end cell cell negative 1 end cell row 1 cell negative 3 end cell 1 end table close vertical bar equals 1 left parenthesis negative 4 minus 3 right parenthesis minus 4 left parenthesis 3 plus 1 right parenthesis minus 1 left parenthesis negative 9 plus 4 right parenthesis
      equals negative 7 minus 16 plus 5 not equal to 0.
      There exists only one trivial solution.

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