1: Systems of Linear Equations Last updated May 15, 2025 Save as PDF Licensing 1.1: Systems of Linear Equations Page ID176967 Kenn HuberIrvine Valley College ( \newcommand{\kernel}{\mathrm{null}\,}\) 1.1: Systems of Linear Equations1.1: Lines, Planes, and Space1.1: Parametric Descriptions1.1: Practice Set1.2: Row Reduction1.2: Elimination and Augmented Matrices1.2: Echelon Forms1.2: Free Variables1.2: Practice Set1.3: Vectors1.3: Vector Algebra and Geometry1.3: Vector Equations and Spans1.3: Practice Set1.4: Matrix Equations1.4: Matrix Equations, Spans, and Consistency1.4: Solutions to Matrix Equations1.4: Practice Set1.5: Linear Independence1.5: Defining Linear Independence1.5: Understanding Linear Independence1.5: Practice Set1.6: Subspaces1.6: Defining Subspaces1.6: Common Subspaces1.6: Practice Set1.7: Basis and Dimension1.7: Defining Basis1.7: Finding a Basis of a Subspace1.7: Rank and Nullity1.7: Practice Set JavaScript is disabled In order to continue, you need to verify that you're not a robot by solving a CAPTCHA puzzle. The CAPTCHA puzzle requires JavaScript. Enable JavaScript and then reload the page.