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    Probability that 2x2 matrix of numbers chosen from a set

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    Suppose that a computer program generates a matrix
    Where are chosen randomly from the set {-3, -2, -1, 0, 1, 2, 3}.

    What is the probability that the system has a unique solution?

    I am fairly certain that this is the case when the determinant is not zero, ie. when

    Using a computer script I generated all possibilities and found that the probability of the determinant being zero is so the solution is but I am unsure of how to find this computationally.

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    https://brainmass.com/math/matrices/probability-matrix-numbers-chosen-set-29528

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    Suppose that a computer program generates a matrix
    Where are chosen randomly from the set {-3, -2, -1, 0, 1, 2, 3}.

    What is the probability that the system has a unique solution?

    I am fairly certain that this is the case when the determinant is not zero, ie. when

    Using a computer script I generated all possibilities and ...

    Solution Summary

    The probability that a 2x2 matrix of numbers from a chosen set has a unique solution is determined. A computer script is generated.

    $2.49

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