CIS$-277$ Data Structures and Algorithms

Programming Assignment: Abstract Data Type $-$ Matrix

The purpose of this course is to provide you with experience in:

Identification of the appropriate ABSTRACT DATA TYPE $($model and operations$)$ to use for a given application.

Select of the best DATA STRUCTURE and corresponding ALGORITHMS to implement the ADT in a programming language.

There are many applications in mathematics, economics, engineering, etc. in which the underlying model is a matrix. Consequently, it would be useful to implement this ADT. The special case of a $22$ matrix will be considered.

MODEL: the general form of a $22$ matrix is:

Where:a$11,$ a$12,$ a$21,$ and a$22$ are real numbers $($scalars$)$ that are the COMPONENTS $($or ELEMENTS$)$ of the matrix.

OPERATIONS: the following are some of the common operations that are performed on such matrices:

Matrix addition: