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LINEAR ALGEBRA 1
Geometric Interpretations 5
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3-dimensional affine function approximation arbitrary basis boundary bounded called chain rule coefficients column Compute Consider continuously differentiable converges coordinate functions curl F denoted differentiable function dx dy equal equation Example Exercise exists f fdV field F Find finite follows formula Fourier function defined function g function theorem given gradient field graph Green's theorem Hence implicitly defined inequality inner product interval inverse function inverse function theorem iterated integral Jacobian determinant Jacobian matrix line integral linear function multiple one-one open set orthonormal partial derivatives perpendicular piecewise smooth point x0 proof Prove quadratic polynomial real number real-valued function rectangle respect Riemann satisfies Section Show shown in Figure smooth curve smooth surface solution Stokes's theorem subset subspace Suppose symmetric tangent plane tangent vector Taylor expansion tends to zero variable vector field vector function vector space