Dive into essential matrix and vector operations for machine learning and deep learning mathematics in this 30-minute tutorial. Learn to create matrices and vectors, perform element-wise operations using inline functions, and execute matrix addition and subtraction in Python. Explore techniques for calculating matrix size, shape, and dimensions, as well as converting between dense and sparse matrices. Master advanced concepts such as matrix transposition, computing mean, variance, and standard deviation, and converting dictionaries to matrices. Gain proficiency in vector dot products, matrix rank and trace calculations, flattening matrices, and determining matrix determinants. Discover methods for finding maximum and minimum elements, extracting matrix diagonals, inverting matrices, reshaping matrices, and selecting specific elements from vectors and matrices.