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8.2: (Sum the major diagonal in a matrix) Write a function that sums all the double values in the major diagonal in an n x n matix of double values using the following header:

const int SIZE = 4;

double sumMajorDiagonal(const double m[][SIZE]);

Write a test progrm that reads a 4x4 matrix and displays the the sum of all its elements on the major diagonal.

Sum the major diagonal in a matrix: Programming Exercise 8.2 on page 327. Additional details:

The size of an array cannot be changed based on user input (dynamic memory allocation), so the matrix should be dimensionsed to the max size ever expected (10 x 10 perhaps).

Prompt user to enter N (the size of the N x N matrix).The program should work for any N >= 2.N should not be used anywhere for matrix dimensions.It is only used in for loops to control user input and printing.Note that a 3x3 matrix is really just using the upper corner of the 10x10 matrix.

Prompt the user to enter the elements in the matrix row-by-row.

Display the NxN matrix.

Display the sum of the elements in the major diagonal.The sum should be displayed from the main function, not from the function sumMajorDiagonal.

Include a printout of the main program and the function.

Include printouts for the test case in the textbook as well as for a 2x2 matrix and a 3x3 matrix.

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