Math vs Code Approach

Linear Algebra for Machine Learning · Axiom Academy

Bridging Math Notation and Code Translating equations into Python Mathematical notation uses subscripts (v₁, v₂, v₃) and brackets. Python uses array indexing (v[0], v[1], v[2]) with 0-based indexing. Matrix Notation and Multiplication In mathematical notation, we usually write (m × n) matrices. When translating to code, remember Python uses shape (m, n) where m is rows and n is columns. In NumPy, * means element-wise multiplication, not matrix multiplication. Use @ or np.matmul() for matrix multiplication. This is a common source of bugs! If a math textbook says "element a₂,₃", remember to use A[1, 2] in Python (subtract 1 from both indices due to 0-based indexing).

This is the written version of the interactive lesson above. See the full Linear Algebra for Machine Learning course.