Practice Systems Of Linear Equations (21.1) - Linear Algebra

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9 questions

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Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define what a system of linear equations is.
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Involves what 'terms' they share.
Question 2.
Provide an example of a consistent system.
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Look for equations that intersect.
3Question 3.
What is a system of linear equations?
- A collection of non-linear equations
- A set of linear equations sharing variables
- An equation without variables
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Think about the equations' nature.
4Question 4.
True or False: An inconsistent system has at least one solution.
- True
- False
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Consider the meaning of 'inconsistent.'
Question 5.
Create a system of linear equations that has no solutions, and explain why.
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Check if the slopes of the equations are the same.
Question 6.
Using Gauss elimination, solve the following system: 2x + y = 8 and 3x - 2y = 3.
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Set up the augmented matrix and perform row reduction.

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