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What Else It Means For A Matrix To Be Diagonalizable
by Carol Braun
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What It Means For A Matrix To Be Diagonalizable
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Proof That Similar Matrices Have Equal Eigenvalues
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Review Of Similarity Transformations
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Example: Using Picture And Equations Of Upper And Lower Surfaces To Convert A Triple Integral From Rectangular To Spherical Or Cylindrical Coordinates
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Example: Using Trigonometry To Find Limits Of Integration In Spherical Coordinates
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Harder Example: Proving Differentiability Using e1 And e2
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General Form Of A Horizontal Shear
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Example Of Matrix Transformation: Reflection Across x2 Axis
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Example Of A Matrix Transformation: Horizontal Shear
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Following Theta Around A Polar Graph, Part 2
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Identifying Values Of Theta Along A Polar Graph
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Explanation Of Conical Tank Problem
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Proof That Eigenvectors Of A Symmetric Matrix With Distinct Eigenvalues Are Orthogonal
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Classifying FODEs
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Bernoulli Differential Equations
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Proof Of Special Factorization When 2x2 Matrix Has Complex Eigenvalues
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Complex Eigenvectors In R3 And The Invariant Plane
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Summary Of Finding Complex Eigenvectors Of A 2x2 Matrix
Using Graph To Figure Out Sign Of Partial Derivative
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Diagonalization As Conversion To The Eigenbasis
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Function Arrow Notation And A Matrix Transformation With A Clear Geometric Effect
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Using Algebra To Answer Questions About Matrix Transformations
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Introducing Matrix Transformations
