Algebra and Analytical Geometry - MU

Systems of Linear Equations: Solving matrices using Gaussian elimination, Gauss-Jordan reduction, and Cramer's Rule.Matrix Algebra: Computing matrix operations, inverses, determinants, and finding eigenvalues and eigenvectors.Vector Spaces: Analyzing vector operations, dot/cross products, linear independence, basis, dimension, and vector projections.Analytic Geometry: Writing equations for lines and planes in 3D space, and analyzing conic sections (parabolas, ellipses, hyperbolas).