WRITE A C++ PROGRAM: Implement a new class, 3DMatrix, which inherits from the Matrix Class. It should represent a series of Matrix objects. Overwrite all the operators implemented in last week's lab: addition(+), subtraction(-), and multiplication (*). Overwrite all operators for the 3DMartix class to perform the same operations. For multiplication, the two operands must have the same number of Matrix objects stacked, and multiplication should be performed acrosss each corresponding Matrix index:

For example

M1 = 3DMatrix(3,4,2);
M2 = 3DMatrix(4,20,2);

M3 = M1*M2; // dimensionality of M3 is (3,20,2)

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Consider the following function main: int main() { int alpha[20]; int beta[20]; int matrix[10][4]; . . } a. write the definition of the function inputarray that prompts the user to input 20 numbers and stores the numbers into alpha. b. write the definition of the function doublearray that initializes the elements of beta to two times the corresponding elements in alpha. make sure that you prevent the function from modifying the elements of alpha. c. write the definition of the function copyalphabeta that stores alpha into the first five rows of matrix and beta into the last five rows of matrix. make sure that you prevent the function from modifying the elements of alpha and beta. d. write the definition of the function printarray that prints any onedimensional array of type int. print 15 elements per line. e. write a c11 program that tests the function main and the functions discussed in parts a through d. (add additional functions, such as printing a two-dimensional array, as needed.)

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