Independence, Basis, and Dimension
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Factorization into A = LU
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Solving Ax = 0: Pivot Variables, Special Solutions
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Powers of Ten - Units - Dimensions - Measurements - Uncertainties - Dimensional Analysis - Scaling Arguments
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Column Space and Nullspace
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The Four Fundamental Subspaces
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Elimination with Matrices
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Electric Field
Field Lines
Superposition
Inductive Charging
Dipoles
Induced Dipoles
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Introduction (Prof. Robert A. Weinberg)
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The Geometry of Linear Equations
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1D Kinematics - Speed - Velocity - Acceleration
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Vectors - Dot Products - Cross Products - 3D Kinematics
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Rainbows - Haloes - Coronae - Glories
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Multiplication and Inverse Matrices
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Eigenvalues and Eigenvectors
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