Linear Algebra
Study of vectors, matrices, and linear transformations.
Practical Applications
Engineering and Physics Applications
Building and Understanding the World
Engineers and physicists use linear algebra to design structures, analyze systems, and solve real-world problems.
Key Applications
- Statics and Dynamics: Analyzing forces and movement uses vectors and matrices.
- Electrical Circuits: Systems of equations model how currents flow.
- Robotics: Control systems use matrices to move robot arms with precision.
Why It's Useful
These techniques keep bridges standing, robots moving, and cars driving safely!
Examples
Solving for unknown currents in electrical networks using matrices.
Modeling forces on a bridge with systems of linear equations.