- Worksheets>
- Math>
- Algebra>
- Matrices>
- Determinants

# Determinants Worksheets

Use our printable worksheets to help high school students find the determinants of order 2 x 2 or 3 x 3 with ease. Cramer uses determinant to identify the solutions of systems of equations in two and three variables. We have a handful of worksheet pdfs with exercises in Cramer's rule and determinants. Free samples are also included.

## 2 x 2 Determinants

2 x 2 Determinants - Integers

Evaluate 2 x 2 determinants by cross multiplication. Entries are integers.

2 x 2 Determinants - Fractions

Find the value of the determinants. Entries are fractions.

## 3 x 3 Determinants

3 x 3 Determinants

In this printable high school resource, evaluation of 3 x 3 determinants is performed along any of the rows or columns.

## Cramer's Rule: Identifying Number of Solutions

Identifying Number of Solutions Using Cramer's Rule

System of equations in two variables has unique, infinite or no solution. Determinants and Cramer's rule help us to identify the number of solutions. Unique: None of Del, Del x and Del y zero. Infinite: Del, Del x and Del y are zero. No solution: Del = 0; Either Del x or Del y non zero

## Cramer's Rule: Solving Equations

Solve Using Cramer's Rule

If the value of determinant is non-zero, then the solution exists. Find del, del x and del y. x = del x / del; y = del y / del

Find Solution Using Cramer's Rule

Here is a set of determinant pdf worksheets based on solving equations in two variables with fraction coefficients but solutions in integers.

Equations in Three Variables Easy

Solve using Cramer's rule.

Equations in Three Variables Hard

Solve the system of equations in three variables using Cramer's rule. Coefficients are in fractions but answers in integers.

Related Worksheets