Vector Transformations Linear Algebra 14m 19s Click to view videos

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Back to Maths Video Lecture Course Page Vector Transformations Linear Algebra 14m 19s Click to view videos Linear Transformations Linear Algebra 13m 52s Click to view videos Matrix Vector Products as Linear Transformations Linear Algebra 17m 04s Click to view videos Linear Transformations as Matrix Vector Products Linear Algebra 17m 32s Click to view videos Image of a subset under a transformation Linear Algebra 18m 11s Click to view videos im(T): Image of a Transformation Linear Algebra 16m 37s Click to view videos Preimage of a set Linear Algebra 05m 23s Click to view videos Preimage and Kernel Example Linear Algebra 15m 23s Click to view videos Sums and Scalar Multiples of Linear Transformations Linear Algebra 15m 09s Click to view videos More on Matrix Addition and Scalar Multiplication Linear Algebra 10m 41s Click to view videos Linear Transformation Examples: Scaling and Reflections Linear Algebra 15m 13s Click to view videos Linear Transformation Examples: Rotations in R2 Linear Algebra 17m 52s Click to view videos Rotation in R3 around the X-axis Linear Algebra 12m 18s Click to view videos Unit Vectors Linear Algebra 06m 59s Click to view videos Introduction to Projections Linear Algebra 14m 37s Click to view videos Expressing a Projection on to a line as a Matrix Vector prod Linear Algebra 16m 40s Click to view videos Compositions of Linear Transformations 1 Linear Algebra 12m 21s Click to view videos Compositions of Linear Transformations 2 Linear Algebra 16m 30s Click to view videos Matrix Product Examples Linear Algebra 18m 14s Click to view videos Matrix Product Associativity Linear Algebra 11m 59s Click to view videos Distributive Property of Matrix Products Linear Algebra 09m 52s Click to view videos Introduction to the inverse of a function Linear Algebra 18m 53s Click to view videos Proof: Invertibility implies a unique solution to f(x)=y Linear Algebra 18m 41s Click to view videos Surjective (onto) and Injective (one-to-one) functions Linear Algebra 09m 31s Click to view videos Relating invertibility to being onto and one-to-one Linear Algebra 06m 31s Click to view videos Determining whether a transformation is onto Linear Algebra 25m 51s Click to view videos Exploring the solution set of Ax=b Linear Algebra 16m 34s Click to view videos Matrix condition for one-to-one trans Linear Algebra 19m 59s Click to view videos Simplifying conditions for invertibility Linear Algebra 06m 37s Click to view videos Showing that Inverses are Linear Linear Algebra 06m 25s Click to view videos Deriving a method for determining inverses Linear Algebra 18m 00s Click to view videos Example of Finding Matrix Inverse Linear Algebra 06m 22s Click to view videos Formula for 2×2 inverse Linear Algebra 18m 20s Click to view videos 3×3 Determinant Linear Algebra 10m 01s Click to view videos nxn Determinant Linear Algebra 18m 40s Click to view videos Determinants along other rows and cols Linear Algebra 09m 03s Click to view videos Rule of Sarrus of Determinants Linear Algebra 07m 18s Click to view videos Determinant when row multiplied by scalar Linear Algebra 13m 20s Click to view videos (correction) scalar muliplication of row Linear Algebra 02m 52s Click to view videos Determinant when row is added Linear Algebra 16m 55s Click to view videos Duplicate Row Determinant Linear Algebra 16m 19s Click to view videos Determinant after row operations Linear Algebra 10m 25s Click to view videos Upper Triangular Determinant Linear Algebra 08m 07s Click to view videos Simpler 4×4 determinant Linear Algebra 09m 13s Click to view videos Determinant and area of a parallelogram Linear Algebra 21m 37s Click to view videos

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