Many mathematical problems require the addition, subtraction, and multiplication

Question

Many mathematical problems require the addition, subtraction, and multiplication of two

matrices. Write an ADT Matrix. You may use the following declarations:

#define MAX_ROWS 10

#define MAX_COLS 10

struct matrix

{

int values[MAX_ROWS][MAX_COLS];

int numRows;

int numCols;

};

typedef struct matrix MatrixType;

MatrixType *CreateMatrix(void);

void DestroyMatrix(MatrixType *m);

void MakeEmpty(MatrixType *m);

void SetSize(MatrixType *m, int rowSize, int colSize);

void StoreItem(MatrixType *m, int item, int row, int col);

MatrixType* Add(MatrixType *m1, MatrixType *m2);

MatrixType* Subtract(MatrixType *m1, MatrixType *m2);

MatrixType* Multiply(MatrixType *m1, MatrixType *m2);

void Print(MatrixType *m, FILE *fp);

int MultCompatible(MatrixType *m1, MatrixType *m2);

int AddSubCompatible(MatrixType *m1, MatrixType *m2);

Before you start looking at how to implement this ADT, you must determine the appropriate

preconditions and postconditions for each operation. Note that the ADT provides the functions

(MultCompatible() and AddSubCompatible()) to determine if the binary matrix operations are

possible.

Write a test program to test all the functions of your MatrixType. The test program must ensure

the preconditions of the ADT functions of MatrixType. Print an error message if a precondition is

violated.

Explanation / Answer

The menu should contain the following options.

GetNewMatrix <matrix>

Number of rows and number of columns are on the next line.

Number of column values on the next number of rows lines

AddMatrices <matrix> <matrix> <matrix>

Add first and second, leaving the result in the third

SubMatrices <matrix> <matrix> <matrix>

Subtract second from first, leaving the result in the third

MultiplyMatrices <matrix> <matrix> <matrix>

Multiply first and second, leaving the result in the third

PrintMatrix <matrix>

Print the matrix one row per line on DataOut

Quit

Processing Notes

1. <matrix> is a number between 0 and 9. This value is used as an index into an array of

MatrixType.

2. The main function must include a Switch statement where the case expression is a userdefined enumeration type. This means that the command is recognized and its enumeration

equivalent is sent back to be used in the case statement.

3 The driver must ensure the preconditions of the member functions of MatrixType. Throw

an exception if an error occurs and continue processing.

Deliverables

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