How to Find the Determinant of a 4x4 Matrix


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question 1 of 3

What form does the determinant of a square matrix take if there are no variables in the matrix?

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1. In a 4x4 matrix, what is the sign associated with the second column, second row?

2. Which row or column will lead to the fewest calculations when finding the determinant of a 4x4 matrix?

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About This Quiz & Worksheet

Solving for a determinant is a very useful skill to have, particularly if you can do it without the aid of a calculator. This quiz and worksheet will allow you to practice this skill by testing your knowledge of how to use a 4x4 matrix.

Quiz & Worksheet Goals

These assessments will quiz you on the following:

  • The form of a square matrix determinant if the matrix lacks variables
  • What sign is associated with the second column, second row of a 4x4 matrix
  • What column in a 4x4 matrix will lead to the least calculations
  • The fastest method of finding the determinant of a 4x4 matrix
  • Deciding whether a determinant makes sense

Skills Practiced

This quiz and worksheet use the following skills:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on finding the determinant of a 4x4 matrix
  • Problem solving - use acquired knowledge to solve practice problems using 4x4 matrices
  • Knowledge application - use your knowledge to check your understanding of the best ways to find a determinant using a 4x4 matrix

Additional Learning

To test your knowledge of using a matrix, review the lesson called How to Find the Determinant of a 4x4 Matrix. The lesson will cover the following objectives:

  • Define determinant and sub-matrix
  • Explain how to expand along a column
  • Discuss why you should know how to calculate a determinant by hand