# Free Online Tutorials on Functions and Algebra

Free analytical Tutorials using step by step approach with examples and matched exercises are presented here. Detailed solutions to the examples are also included. Several tutorials have been designed so that they can be used with the applets tutorials in this site.

## Lines

• Slopes of Perpendicular Lines Questions. A detailed tutorial on proof that the slope of two parallel lines are equal and also questions with detailed solution.
• Slopes of Perpendicular Lines Questions. A detailed tutorial on the proof of the fact that two perpendicular lines have slopes such that one is the negative of the reciprocal of the other and also questions with detailed solutions.

## Floor and Ceiling Functions

• Floor Function. The floor function floor(x) is defined as the function that gives the highest integer less than or equal to x.
• Ceiling Function. The ceiling function ceiling(x) is defined as the function that gives the smallest integer greater than or equal to x.

## Matrices

• Matrix Addition and Multiplication. A tutorial on how to add, multiply by a scalar and multiply matrices with examples, solutions, exercises and answers.
• The Inverse of a Square Matrix. A tutorial on how to find the inverse of any square matrix. The proof of a formula that gives the inverse of an invertible 2 x 2 matrix is also included.