ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!

    Question

    If the homogeneous system of equations x + y + z

    = 0 2x + 3y + 4z = 0 has a non-trivial solution, then the value of k is: 3x + 5y + kz = 0
    A 6 Correct Answer Incorrect Answer
    B 9 Correct Answer Incorrect Answer
    C 7 Correct Answer Incorrect Answer
    D 8 Correct Answer Incorrect Answer

    Solution

    We are given a homogeneous system of equations: x + y + z = 0 2x + 3y + 4z = 0 3x + 5y + kz = 0 We are told the system has a non-trivial solution , and we are to find the value of A homogeneous system has a non-trivial solution if and only if the determinant of the coefficient matrix is zero , i.e., the rows are linearly dependent . Write the coefficient matrix

    Practice Next
    More Quant Miscellaneous Questions

    Relevant for Exams:

    ask-question