linear algebra

Basic idea

Study of vector spaces and linear maps between them. Matrices give a concrete representation of linear maps in a chosen basis.

Key formulas

• Matrix-vector product: $(Ax)_i=\sum_j A_{ij}x_j$
• Linear system: $Ax=b$
• Eigenvalue equation: $Av=\lambda v$
• Determinant nonzero $\iff$ matrix invertible

Pages

• Linear Algebra

Siblings

• Blogs
• calculus
• complex numbers
• set theory