# Probability that 2x2 matrix of numbers chosen from a set

Not what you're looking for?

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.

##### Purchase this Solution

##### 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.

##### 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 ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.