Create a Matrix class (c++) and implement the following member functions:

The constructors and the destructor

getSize( ) which returns the size of the matrix;

setValue( int position, int value) which sets the value in the matrix at given position;

getValue (int position) which returns the current value at given position;

an add method which adds two matrices together;

a subtract method which subtract two matrices together;

a multiply methods which multiplies two matrices together, if possible;

an overlap function which overlaps two matrices together. The augment function takes two matrices A and B of size m1xn1 and m2xn2, respectively, and produce a new matrix C of size mLxnL, where mL (resp. nL) is the largest between m1 and m2 (resp. n1 and n2). The values of C will either come from the original matrices by overlapping matrix B over matrix A. Wherever a value is not available it initialized to default value 0. For example: If you overlap two matrices A of size 4x2 and B of size 3x5, the resulting matrix C is of size 4x5.

While the numerical values of the example are integers, the class definition should be general enough to consider different possible types.

Test your class by writing a driver that performs the following actions on the matrices A, B, and C given in the example above:

1. initialize two matrices A and B

2. add A and B together and then subtracts them

3. print both input matrices and the resulting matrix after addition and subtraction

4. print both input matrices and the resulting matrix after multiplication, if possible. If not possible explain the reason of the error

5. overlap the two matrices by using the overlap function.

6. display both input matrices and the output matrix produced by the overlap function.

B= 82651 39123 57314 C=Aoverlap B 82651 39123 57314 79000 A= 23 1 3 6 3 79 Here is another example. Consider matrix A of size 2x3 and matrix B of size 3x1, the overlapped matrix C is of size 2x3. B= C-A overlap B = 8 3 5 3 34 500 A= 235 13 4