## Description

Question 1 (5 pts)

Can a function in C++ return an array? If yes please explain how, and if no please explain

why.

Question 2 (10 pts)

Write a function that will fill a 5×5 matrix by randomly generated numbers. You can use

rand() and srand() functions provided by library to generate random numbers.

The signature of the function is:

void fillMatrix(int matrix[rows][cols]);

rows and cols are global constants defined as follow:

const int rows = 5;

const int cols = 5;

2

Question 3 (10 pts)

Write a function that given a 5×5 matrix as parameter, will print each row of the matrix to

the screen line by line.

The signature of the function is:

void PrintMatrix(int matrix[rows][cols]);

You can test your function by feeding it a randomly generated matrix from question 2.

Question 4 (15 pts)

In algebra, a transpose of a matrix is a matrix whose rows are the columns of the original.

Write a function that will take a 5×5 matrix as parameter and then transpose it in-place

which means without the use of an extra or a temporary matrix while transposing.

The signature of the function is:

void transposeMatrix(int matrix[rows][cols]);

You can test your function by feeding it a randomly generated matrix from question 2.

Question 5 (15 pts)

Write an iterative function that given two 5×5 matrices as parameters, will return a third

5×5 matrix holding the result of the product of the 2 matrices.

You can test your function by feeding it two randomly generated matrices from question 2.

Question 6 (15 pts)

Rewrite the same function from question 5 but using recursion.

3

Question 7 (15 pts)

Rewrite the same functions from question 2, question 3 and question 4 (fillMatrix,

printMatrix and transposeMatrix) using the pointer notation instead of the array notation.

Note that you should be using double pointers to allocate the needed 2-dimensional

arrays.

Question 8 (15 pts)

Is it possible to use a 1-dimensional array instead of 2-dimensional array to implement a

matrix? If yes rewrite the functions from question 2 and question 3 (fillMatrix and

printMatrix) using 1-dimensional array. If no, please explain why.

4