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Inconsistent and Dependent Systems: Using Gaussian Elimination

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

Which type of system has an infinite number of solutions?

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1. How many solutions does an inconsistent system have?

2. You are trying to solve a system using Gaussian elimination. In the process, you see that you get 0 for all the rows below the first row. What does this most likely mean for your system?

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About This Quiz & Worksheet

Gaussian elimination allows you to analyze inconsistent and dependent systems of equations, and this quiz/worksheet combo will help you to test your understanding of how to perform these operations. The quiz questions will test you on the characteristics of dependent and inconsistent systems.

Quiz & Worksheet Goals

In these math assessments you'll be tested on:

  • How many solutions exist for each type of system
  • Identifying these two types of systems by performing Gaussian elimination
  • Recognizing true statements about inconsistent and dependent systems

Skills Practiced

This quiz and worksheet will allow you to test your skills in the following areas:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on Gaussian elimination
  • Interpreting information - verify that you can read and interpret information about inconsistent and dependent systems
  • Information recall - access the knowledge you've gained regarding the number of solutions for each type of system

Additional Learning

To learn more about Gaussian elimination, review the accompanying algebra lesson called Inconsistent and Dependent Systems: Using Gaussian Elimination. This mathematics video-lesson covers these objectives:

  • Define and differentiate between inconsistent and dependent systems
  • Explain Gaussian elimination
  • Understand how to use Gaussian elimination to analyze inconsistent and dependent systems
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