Write a class that will convert a matrix row/column coordinate to an index and vice versa.

Definition An n x m matrix is a matrix with n columns and m rows.

1 x 1 Matrix

2 x 1 Matrix

1 x 2 Matrix

2 x 2 Matrix

3 x 2 Matrix

2 x 3 Matrix

3 x 3 Matrix

. . .

n x m Matrix

	0
0	0

	0	1
0	0	1

	0
0	0
1	1

	0	1
0	0	1
1	2	3

	0	1	2
0	0	1	2
1	3	4	5

	0	1
0	0	1
1	2	3
2	4	5

	0	1	2
0	0	1	2
1	3	4	5
2	6	7	8

Problem Each row/column element can be assigned an index like the matrices in the examples above. We want to be able to access any element by a row/column coordinate or by an index. Sometimes we need to convert a row/column coordinate to an index or convert an index to a row/column coordinate.

Solution

1. Write a matrix coordinate/index converter class with the methods below.
   • Methods
     • Constructor - Accepts a number of rows and a number of columns to initialize the dimensions of the matrix
     • indexToColumn - Converts an index to its corresponding column
     • indexToRow - Converts an index to its corresponding row
     • rowColumnToIndex - Converts a row/column coordinate to its corresponding index
2. Write a program using your class to test that the converter works for any n x m matrix.

Notes

Do NOT create the matrix. This should only convert an index to a row and column and convert a row and column to an index.

I have been working on this for well over 12 hours. I have the program to write the matrix/array. However, it is in my main folder, and not in a 'constructor'. I have no idea how to find an element in the array (the indexToColumn etc.).