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Questions and Answers
Which of the following best describes a system of linear equations?
Which of the following best describes a system of linear equations?
- A collection of equations involving the same variables (correct)
- A collection of equations involving different variables
- A collection of equations involving only one variable
- A collection of equations involving both linear and non-linear terms
Which of the following is a solution to the system of equations: $3x + 2y - z = 1$, $2x - 2y + 4z = -2$, $-x + \frac{1}{2}y - z = 0$?
Which of the following is a solution to the system of equations: $3x + 2y - z = 1$, $2x - 2y + 4z = -2$, $-x + \frac{1}{2}y - z = 0$?
- (x, y, z) = (0, 0, 0)
- (x, y, z) = (2, -1, 0)
- (x, y, z) = (-1, 1, 1)
- (x, y, z) = (1, -2, -2) (correct)
In linear algebra, linear systems are considered collectively rather than individually because:
In linear algebra, linear systems are considered collectively rather than individually because:
- There can be multiple solutions to a system of equations
- The equations are dependent on each other (correct)
- The equations are independent of each other
- Each equation has a unique solution
What is the basis and a fundamental part of linear algebra?
What is the basis and a fundamental part of linear algebra?
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What is the purpose of computational algorithms in linear systems?
What is the purpose of computational algorithms in linear systems?
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