# Determinants Worksheets

Use our worksheets to find the determinants of order 2 x 2 or 3 x 3. Cramer uses determinant to identify the solutions of systems of equations in two and three variables. We have handful of worksheets in Cramer's rule and determinants.

## 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

Evaluation of 3 x 3 determinants 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

Couple of determinant 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. Coefficents are in fractions but answers in integers.