Suppose that you are a pottery artist and want to create a special color to paint your work of art. Using the primary colors of red, green, and blue (or RGB) and the principles of linear algebra,...

Suppose that you are a pottery artist and want to create a special color to paint your work of art. Using the primary colors of red, green, and blue (or RGB) and the principles of linear algebra, combine the three primary colors to create new color schemes for painting your art work.

1. Describe how you would mix your color mathematically.


2. What subspace would you operate in?


3. List your base vectors and describe them.


4. If you want to vary the intensity of certain colors, how would you do it?


5. What does vector addition do to your color scheme?


6. What does positive scalar multiplication do to your color scheme?


7. Give a vector representation of any color as an example. Explain the steps you undertake to make this color and name it.