Practice Systems of Linear Equations - 21.1 | 21. Linear Algebra | Mathematics (Civil Engineering -1)
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Systems of Linear Equations

21.1 - Systems of Linear Equations

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define what a system of linear equations is.

💡 Hint: Involves what 'terms' they share.

Question 2 Easy

Provide an example of a consistent system.

💡 Hint: Look for equations that intersect.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a system of linear equations?

A collection of non-linear equations
A set of linear equations sharing variables
An equation without variables

💡 Hint: Think about the equations' nature.

Question 2

True or False: An inconsistent system has at least one solution.

True
False

💡 Hint: Consider the meaning of 'inconsistent.'

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Create a system of linear equations that has no solutions, and explain why.

💡 Hint: Check if the slopes of the equations are the same.

Challenge 2 Hard

Using Gauss elimination, solve the following system: 2x + y = 8 and 3x - 2y = 3.

💡 Hint: Set up the augmented matrix and perform row reduction.

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