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What is a system of linear equations?
What is a system of linear equations?
- An equation involving non-linear terms
- A set 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 equation with no solution
- An assignment of values to the variables that satisfies one equation
- An assignment of values to the variables that satisfies all the equations simultaneously (correct)
- An equation with infinitely many solutions
What does the word 'system' imply in the context of linear equations?
What does the word 'system' imply in the context of linear equations?
- The equations should be solved independently
- The equations should be considered collectively, rather than individually (correct)
- The equations should be considered individually, rather than collectively
- The equations should be solved one by one
What is the basis of linear algebra?
What is the basis of linear algebra?
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What are computational algorithms for finding solutions important for?
What are computational algorithms for finding solutions important for?
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