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Introduction To Quadratic Forms
by Carol Braun
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Spectral Decomposition
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The Spectral Theorem
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Diagonalizing A Symmetric Matrix With Repeated Eigenvalues
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Diagonalizing A Symmetric Matrix
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What Is A Symmetric Matrix?
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Summary: Weights In Linear Combination, And Orthogonal Projection
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Projection Along Orthogonal Basis Vectors
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Advantage Of Using An Orthogonal Basis
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Distance And Orthogonality
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Length Of A Vector
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Introducing The Inner Product
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Continuous-time Linear Dynamical Systems With Complex Eigenvalues
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More Examples Of Phase Portraits For Continuous-time Systems
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Continuous-time Linear Dynamical Systems: Example With Phase Portrait
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Lay Sec 5.2 #9: How To Factor The Characteristic Equation
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Using Picture Of Region To Find Limits Of Integration For Spherical Coordinates
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Changing Iterated Integrals To Polar Coordinates
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Initial-value Problems For Continuous-time Linear Dynamical Systems
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Using Eigenvalues To Classify Trajectories Of A Linear Dynamical System: Discrete Vs. Continuous
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Discrete And Continuous-Time Linear Dynamical Systems
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Finding The Region Whose Area Is Given By An Iterated Integral
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Iterated Integral To Find Area Bounded By Graphs Of Given Equations
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Discrete Linear Dynamical Systems
