Linear algebra essentials + DSA Math & Geometry

Interview questions to prep

1. Where does integer overflow / negative input / zero hide here, and how do you guard against it?
2. Can you derive a closed-form solution, and how does it compare to the iterative one?
3. Walk through edge cases: 0, 1, max int, min int, negative input.

Interview questions to prep

1. Where does integer overflow / negative input / zero hide here, and how do you guard against it?
2. Can you derive a closed-form solution, and how does it compare to the iterative one?
3. Walk through edge cases: 0, 1, max int, min int, negative input.

Interview questions to prep

1. Where does integer overflow / negative input / zero hide here, and how do you guard against it?
2. Can you derive a closed-form solution, and how does it compare to the iterative one?
3. Walk through edge cases: 0, 1, max int, min int, negative input.

Interview questions to prep

1. What does the dot product mean geometrically?
2. Why is the transpose used in y = Xθ vs y = θX?
3. How does cosine similarity relate to the dot product?

Interview questions to prep

1. What is the rank of a matrix and why does it matter for solving Ax = b?
2. What does it mean for a feature matrix X to be rank-deficient, and how does it affect linear regression?

Interview questions to prep

1. Compare L1, L2, and L-infinity norms — when do you use each?
2. How does the choice of norm change the geometry of regularization?