Difficulty: Beginner. Categories: Mathematics.
Linear Algebra is a fundamental mathematics course that introduces students to vector spaces, matrices, and linear transformations through computational applications and real-world problem-solving. The course covers vector operations, matrix algebra, determinants, eigenvalues and eigenvectors, linear independence, and basis transformations. Students will master essential techniques including Gaussian elimination, matrix factorizations, least squares methods, and dimensionality reduction algorithms. Through hands-on implementations using Python libraries like NumPy, SciPy, and scikit-learn, students will tackle practical problems in computer graphics, data analysis, signal processing, and optimization. Students will explore how linear algebra forms the mathematical foundation of artificial intelligence, including principal component analysis, singular value decomposition in recommendation systems, and matrix operations in neural network computations.
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