Derivation of Projections and Scalar Components for Vectors. (Dot Product and Vector Projections Part 9/9)

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This is the 6th lecture in this course on Linear Algebra. We review matrix arithmetic for 2×2 matrices and compare the main laws with the simpler case of 1×1 matrices. Then we apply 2×2 matrices to study transformations of vectors, with examples including reflections, rotations and dilations. We visualize these with pictures using the standard…

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