Linear Algebra – Fundamentals & Applications

What Will You Learn?

• ✅ Understand the Fundamentals of Linear Algebra – Learn the core concepts, including vectors, matrices, and transformations.
• ✅ Perform Matrix Operations – Master addition, multiplication, transposition, and inversion of matrices.
• ✅ Solve Systems of Linear Equations – Use Gaussian elimination, Cramer’s Rule, and matrix methods to find solutions.
• ✅ Compute Determinants & Their Applications – Learn how determinants are used in solving equations and transformations.
• ✅ Find Eigenvalues & Eigenvectors – Understand their significance in physics, AI, and engineering applications.
• ✅ Work with Vector Spaces & Transformations – Explore basis, dimension, kernel, range, and linear mappings.
• ✅ Apply Orthogonality & Inner Products – Use dot products, projections, and Gram-Schmidt orthogonalization.
• ✅ Use Linear Algebra in Real-World Applications – AI, machine learning, physics, economics, and computer graphics.