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Linear Algebra Module IV: Inner Product Spaces Linear Algebra Module IV: Inner Product Spaces Summer Term 2021 Linear Algebra Module IV: Inner Product Spaces Summer Term 2021 1 / 51 Table of Contents 1 Inner Products on Rn The Dot Product on Rn Inner Products Orthogonal Vectors and Subspaces Projections and Least Squares Least-Squares Approximation […]

Math 2568 Summer 2021 Final Exam Testing guidelines •) Show all of your work. Correct answers with no supporting work may receive no credit. •) Circle or highlight your final answers. •) You may use your textbook and class notes. Problem Maximum Recorded Number Point Value Point Value Problem 1 10 Problem 2 10 Problem

Linear Algebra Module I: Linear Systems Linear Algebra Module I: Linear Systems Summer Term 2021 Linear Algebra Module I: Linear Systems Summer Term 2021 1 / 75 Table of Contents 1 Systems of Linear Equations 2 Solving Systems of Equations – Row Reduction Overview Plan for Row Reduction Notation for Row Reduction Algorithm for Row

Linear Algebra Module II: Vector Spaces and Linear Transformations Linear Algebra Module II: Vector Spaces and Linear Transformations Summer 2021 Linear Algebra Module II: Vector Spaces and Linear TransformationsSummer 2021 1 / 73 Table of Contents 1 Vector Spaces The space Rn Vector Spaces – Definition Subspaces Spanning Sets, Row Spaces, Column Spaces Nullspaces Range

Linear Algebra Module I: Linear Systems Linear Algebra Module I: Linear Systems Summer Term 2021 Linear Algebra Module I: Linear Systems Summer Term 2021 1 / 75 Table of Contents 1 Systems of Linear Equations 2 Solving Systems of Equations – Row Reduction Overview Plan for Row Reduction Notation for Row Reduction Algorithm for Row