MLKernel methods turn simple linear algorithms into powerful non-linear ones. Instead of drawing only straight lines to separate data, they let us curve and bend the boundary by working in a higher-dimensional feature space. This keeps training simple while unlocking complex patterns.

Principal Component Analysis (PCA) is a method to turn high-dimensional data into a smaller set of numbers while keeping as much useful information as possible. The lecture explains three equivalent views of PCA: best low-dimensional representation, directions of maximum variance, and best reconstruction after projection. These views all lead to the same solution using eigenvectors and eigenvalues of a certain matrix built from the data.