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Algebra II Textbook26 chapters | 256 lessons

What is the determinant of the coefficient matrix of this linear system?

2x + 2y = 10

3x - 2y = 0

Find the x solution of this system using Cramer's rule.

2x + 2y = 10

3x - 2y = 0

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This quiz and attached worksheet will help gauge your understanding of using determinants with systems of linear equations in two variables. Topics you will need to know to pass the quiz include Cramer's rule and linear systems.

Use these assessment tools to measure your knowledge of:

- Determinants
- Cramer's rule
- Constant numbers in columns of a coefficient matrix

This worksheet and quiz let you practice the following skills:

**Critical thinking**- apply relevant concepts to examine information about using determinants with systems of linear equations in two variables in a different light**Problem solving**- use acquired knowledge on using determinants with systems of linear equations in two variables practice problems**Interpreting information**- verify that you can read information regarding Cramer's rule and interpret it correctly

To learn more about using determinants with systems of linear equations in two variables, review the lesson Solving Systems of Linear Equations in Two Variables Using Determinants, which covers the following objectives:

- Linear systems in two variables
- Define Cramer's rule

You are viewing lesson
Lesson
11 in chapter 10 of the course:

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Algebra II Textbook26 chapters | 256 lessons

- What is a Matrix? 5:39
- How to Write an Augmented Matrix for a Linear System 4:21
- How to Perform Matrix Row Operations 5:08
- Matrix Notation, Equal Matrices & Math Operations with Matrices 6:52
- How to Solve Inverse Matrices 6:29
- How to Solve Linear Systems Using Gaussian Elimination 6:10
- How to Solve Linear Systems Using Gauss-Jordan Elimination 5:00
- Inconsistent and Dependent Systems: Using Gaussian Elimination 6:43
- Multiplicative Inverses of Matrices and Matrix Equations 4:31
- How to Take a Determinant of a Matrix 7:02
- Solving Systems of Linear Equations in Two Variables Using Determinants 4:54
- Using Cramer's Rule with Inconsistent and Dependent Systems 4:05
- How to Evaluate Higher-Order Determinants in Algebra 7:59
- Go to Algebra II: Matrices and Determinants

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