Stage 37 · Beyond (Optional)
37.2.3 Matrices as Linear Transformations
37.2 First Steps in Linear Algebra: Vectors, Matrices, and Determinants
Point 3 of 6
37.2.3 Matrices as Linear Transformations
Core ideaA matrix is like a stretch-and-rotate machine: feed in a vector x and it comes out as Ax, with the grid neatly reshaped.
Module goal. Express direction and transformation with vectors and matrices, understand linear transformations, determinants, and solving systems of equations, and lay the groundwork for higher dimensions and abstract structures.