Using Cramer's Rule with Inconsistent and Dependent Systems


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What matrix do you divide by when using Cramer's Rule?

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1. When you have an inconsistent or dependent system, what does the coefficient matrix equal to when you use Cramer's Rule?

2. How many solutions does an inconsistent system have?

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About This Quiz & Worksheet

Using this quiz and worksheet, you can evaluate how well you understand Cramer's Rule. The quiz will assess your understanding of concepts like coefficient matrices and solutions to inconsistent systems.

Quiz & Worksheet Goals

Use these assessment tools to measure your knowledge of the following:

  • Which matrix you should divide by when using Cramer's Rule
  • The coefficient matrix in a dependent system
  • How many solutions there are in an inconsistent system
  • How many solutions there are in a dependent system
  • Defining and applying linear systems

Skills Practiced

This worksheet and quiz let you practice the following skills:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on applying Cramer's Rule to inconsistent and dependent systems
  • Critical thinking - apply relevant concepts to examine information about Cramer's Rule in a different light
  • Interpreting information - verify that you can read information regarding systems with no solutions and interpret it correctly
  • Knowledge application - use your knowledge to answer questions about systems with an infinite number of solutions

Additional Learning

To learn more about applying Cramer's Rule to inconsistent and dependent systems, review the lesson. It covers the following objectives:

  • Define Cramer's Rule
  • Contrast and compare dependent and inconsistent systems
  • Understand how to use coefficient determinants
  • Know when Cramer's Rule can be used