Inverse Matrix: Definition, Properties & Formula


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How do you verify you have correctly calculated an inverse matrix?

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What is the the determinant of the matrix

2 3

-1 5


What is the inverse matrix of A if A =

1 7

3 11

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About This Quiz & Worksheet

Knowing how to use an inverse matrix is a valuable tool in solving the sometimes unwieldy matrix problems. This quiz and worksheet will assess your knowledge of this tool, including providing practice problems to study.

Quiz & Worksheet Goals

These assets will quiz you on the following:

  • How make sure that you calculated an inverse matrix properly
  • Finding the determinant of a matrix
  • Finding an inverse matrix
  • Solving a matrix
  • How to divide by a matrix

Skills Practiced

This quiz and worksheet will allow you to practice the following:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on inverse matrices
  • Problem solving - use acquired knowledge to solve practice problems involving matrices
  • Information recall - access the knowledge you've gained the components that make up a matrix

Additional Learning

Check your knowledge of matrices by reviewing the lesson called Inverse Matrix: Definition, Properties & Formula. Some objectives covered include:

  • Defining key terms, such as matrix, inverse, and identity matrix
  • Demonstrating how to use an inverse matrix through practice problems
  • Explaining the different sizes of matrices and showing how to solve them
  • Providing examples of how to calculate an inverse