About This Chapter
Below is a sample breakdown of the Determinants in Linear Algebra chapter into a 5-day school week. Based on the pace of your course, you may need to adapt the lesson plan to fit your needs.
|Day||Topics||Key Terms and Concepts Covered|
|Monday||Determinants in matrices||How to find determinants in a matrix, including 1x1, 2x2, and larger matrices|
|Tuesday||Two-variable linear systems||Definition of linear systems in two variables and using Cramer's rule to solve them|
|Wednesday||Three-variable linear systems||Usung Cramer's rule to solve linear systems in three variables|
|Thursday||Higher-order determinants||The process of solving large square matrices using smaller determinants|
|Friday||Laplace expansions||Using Laplace expansion as a tool for solving higher-order determinants|
1. How to Take a Determinant of a Matrix
Matrices are incredibly powerful and can help you do all sorts of things, but one of the most basic (and surprisingly helpful) operations you can perform on one is to take its determinant. Learn how to do that here!
2. Solving Systems of Linear Equations in Two Variables Using Determinants
Watch this video lesson to learn how you can easily find the solution of a linear system in two variables by just using determinants. All you need to find the complete solution is to find three determinants.
3. Solving Systems of Linear Equations in Three Variables Using Determinants
Watch this video lesson to learn how to use Cramer's rule to help you find your solutions by finding just four determinants. Learn the numbers to use for your determinants.
4. How to Evaluate Higher-Order Determinants in Algebra
Watch this video lesson to learn the rules for taking the determinant of any size matrix. Learn the kind of matrix that you need before you can take the determinant. Watch as the pattern of the determinant takes shape.
5. Laplace Expansion Equation & Finding Determinants
It is fascinating how a single number can tells us something about a matrix. One such number is the determinant. In this lesson we find determinants using the Laplace expansion equation.
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