I need help with this homework. Need Program design and the C++ code.

Pr ogr amming Assignment: Abstract Data Type - Matrix The purpose of this course is 1. identification of the appropriate ABSTRACT DATA TYPE (model and 2. selection of the best DATA STRUCTURE and corresponding AlGORITHMS to provide you with experience in: operations) to use for a given application to implement the ADT in a programming lan plications in mathematics, economics, engineering, There are many applications in mathematics. ecco etc. in which the underlying model is a matrix . Consequently, it woul implement this ADT. The special case of a 2 x 2 matrix will be considered MODEL: t general form of a 2 x 2 matrix is: a11 a12 2.5 3-7 example: a21 a22 4 a11, a12, a21, and a22 are real numbers (scalars) that are the CoMPONENTS (or ELEMENTS) of the matrix. where: OPERATIONS: the following are some of the common operations that are performed on such matrices: matrix addition: Ia11 a12 ! a21 a22 ! a11 b a12 b12 a21 b2a22 b22 b11 b12 b21 b22 matrix subtraction: a11 -b a12 b12! a21-b a22b22 " a11 a12 : b1 b12 ! a21 a22 b21 b22 scalar multiplication: a1 a 12 k x a11 x a12' a21 a22 k x a21 k x a22