We look at how to calculate the position of points and lines by using a coordinate-system:
If Po(x,y) = (3,4) and if Dy/Dx = (y-4)/(x-3) = 2,
then P1(8,y) = (8,2*(8-3)+4) = (8,14).
Then we look at how to use the new calculation technology such as computers to calculate a set of numbers, vectors, and a set of vectors, matrices.
Q: How to predict the position of points and lines?
A: By using a coordinate-system: If Po(x,y) = (3,4) and if Δy/Δx = 2, then P1(8,y) = P1(x+Δx,y+Δy) = P1((8-3)+3,4+2*(8-3)) = (8,14)
Q: How to use the new calculation technology?
A: Computers can calculate a set of numbers (vectors) and a set of vectors (matrices)