C$++$

A matrix is a two$-$dimensional structure often found in mathematics. For example, a $4$ x $3$ matrix

$($which has four rows and three columns$)$ might look like this:

$1\mathrm{.}2770$

$8\mathrm{.}8244$

$1-511$

$42015-5$

The file that stores this array would be

$43$

$1\mathrm{.}2770$

$8\mathrm{.}8244$

$1-511$

$4215-5$

where we provide the dimensions $(4$ x $3)$ at the beginning of the file. The program can then open

the file, read the first two values, create an appropriate two$-$dimensional array, and then read the

contents of the file into that array.

Two matrices can be added if their dimensionality is the same. For example, the above matrix

could only be added to another $4$ x $3$ matrix. To perform matrix addition, sum the values in each

location to produce the resulting matrix.

Write a program that prompts the user for the two file names, each containing one matrix. Read

the two matrices into two$-$dimensional arrays and display them. If the dimensionality is the same,

compute and display the sum of the two matrices; if not, display an error message.