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What is a linear system in mathematics?
What is a linear system in mathematics?
- A collection of non-linear equations involving different variables
- A system of equations with different variables
- A collection of one or more linear equations involving the same variables (correct)
- A single linear equation with multiple variables
What does a solution to a linear system mean?
What does a solution to a linear system mean?
- An assignment of values that satisfy the first equation
- An assignment of values to the variables that satisfy only one equation
- An assignment of values to the variables that satisfy all the equations simultaneously (correct)
- An assignment of values to some of the variables
What role do linear systems play in various fields?
What role do linear systems play in various fields?
- They are only used in mathematics
- They are not widely applicable
- They are mainly used in computer science
- They play a prominent role in engineering, physics, chemistry, computer science, and economics (correct)
What is the basis of linear algebra?
What is the basis of linear algebra?
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When can a system of non-linear equations be approximated by a linear system?
When can a system of non-linear equations be approximated by a linear system?
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