I hope these links give an idea of the detail needed.Elementary Linear Algebra Stanley Grossman.pdf It is ideas like this - easy to talk about but taking years of effort to perfect - that make video technology and other technologies possible and successful. In fact the motion is allowed to be different on different parts of the screen. A better idea is to see which way the scene is moving and build that change into the next scene. But if the camera is following the action, the whole scene will shift slightly and need correction. Then we would only need the changes between frames - hopefully small. The simplest would be to guess that successive video images are the same. The words "motion compensation" refer to a way to estimate each video image from the previous one. The point is to see an important example of a "standard" that is created by an industry after years of development- so all companies will know what coding system their products must be consistent with.
It is not expected that you will know the meaning of every word - your book author does not know either. This video standard describes a system for encoding and decoding (a "Codec") that engineers have defined for applications like High Definition TV. The H.264 Video Standard (promised in Section 7.1 of the book) Six Great Theorems / Linear Algebra in a Nutshell.12.3 Multivariate Gaussian andWeighted Least Squares.12.2 Covariance Matrices and Joint Probabilities.12 Linear Algebra in Probability & Statistics.11.3 Iterative Methods and Preconditioners.10.5 Fourier Series: Linear Algebra for Functions.10.3 Markov Matrices, Population, and Economics.8.2 The Matrix of a Linear Transformation.8.1 The Idea of a Linear Transformation.7.3 Principal Component Analysis (PCA by the SVD).7 The Singular Value Decomposition (SVD).5.3 Cramer’s Rule, Inverses, and Volumes.4.1 Orthogonality of the Four Subspaces.3.2 The Nullspace of A: Solving Ax = 0 and Rx = 0.2.6 Elimination = Factorization: A = LU.Table of Contents for Introduction to Linear Algebra (5th edition 2016) ** Readers are invited to propose possible links. ** other websites, and all material related to the topic of that section. ** Each section in the Table of Contents links to problem sets, solutions, LU and CR Elimination (To appear in the Education Section of SIAM Review).Matrix World : The Picture of All Matrices, by Kenji Hiranabe.Solution Manual for the Textbook (updated September 2020).18.06 OpenCourseWare site with video lectures 18.06 on OCW.Section 12.1 of the book: Mean, Variance, and Probability.Section 7.1 of the book: Image Processing by Linear Algebra.Section 6.1 of the book: Introduction to Eigenvalues.Section 3.5 of the book: Dimensions of the Four Subspaces.Section 2.5 of the book: Inverse Matrices.I hope this website will become a valuable resource for everyone
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