Probability that 2x2 matrix of numbers chosen from a set
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.
© BrainMass Inc. brainmass.com March 4, 2021, 6:06 pm ad1c9bdddfhttps://brainmass.com/math/matrices/probability-matrix-numbers-chosen-set-29528
Solution Preview
See attachment
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.