## Lab 13

In this assignment you will implement a matrixType class that will be very
useful in viewing a 3-D model. I've done some of the work for you in
Lab13.cpp.

### Data

The only data in the matrixType class is a 4 x 4 two-dimensional array of
double values. This array represents a 4 x 4 transformation matrix.

### The multiply Function

This private function has one parameter that represents a 4 x 4 matrix.
It replaces the current matrix with the product of the parameter and the
matrix: matrix = parameter * matrix.

### Constructor

The default matrix is the identity matrix (see the example output in the
display function section below).

### The reset Function

The reset function sets the matrix equal to the identity matrix. It
resets the matrix back to its default state.

### The display Function

The display function displays the matrix. This is the output generated by
the display function for the identity matrix:

1.0000 0.0000 0.0000 0.0000
0.0000 1.0000 0.0000 0.0000
0.0000 0.0000 1.0000 0.0000
0.0000 0.0000 0.0000 1.0000

### The scale Function

This function sets up a scaling transformation matrix and then replaces
the class matrix with the product of the scaling transformation matrix and
the class matrix (using the private multiply function):

matrix = scaling transformation matrix * matrix

### The translate Function

This function sets up a translation transformation matrix and then
replaces the class matrix with the product of the translation transformation
matrix and the class matrix (using the private multiply function):

matrix = translation transformation matrix * matrix

### The rotate Function

This function sets up a rotation transformation matrix and then replaces
the class matrix with the product of the rotation transformation matrix and
the class matrix (using the private multiply function):

matrix = rotation transformation matrix * matrix

### The applyTo Function

The applyTo function returns the point whose coordinates are determined
by multiplying the matrix by the point that is passed in as a parameter:

returned point = transformation matrix * point parameter

### File Submission

Submit your completed
Lab13.cpp application as an email attachment.