7 Solving systems of linear equations
This chapter covers
- Detecting collisions of objects in a 2D video game
- Writing equations to represent lines and finding where lines intersect in the plane
- Picturing and solving systems of linear equations in 3D or beyond
- Rewriting vectors as linear combinations of other vectors
When you think of algebra, you probably think of problems that require “solving for x.” For instance, you probably spent quite a bit of time in algebra class learning to solve equations like 3x2 + 2x + 4 = 0; that is, figuring out what value or values of x make the equation true.
Linear algebra, being a branch of algebra, has the same kinds of computational questions. The difference is that what you want to solve for may be a vector ...
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