Lesson 2 of 10Article18 minFREE
Matrices & Matrix Arithmetic
An m×n matrix stores m rows and n columns. Matrix–vector product Ax is a linear combination of the columns of A with weights from x.
Arrays that transform
An m×n matrix stores m rows and n columns. Matrix–vector product Ax is a linear combination of the columns of A with weights from x.
- Matrix multiply is associative but not commutative in general.
- AᵀA is always symmetric.
- Think of A as a function ℝⁿ → ℝᵐ: x ↦ Ax.