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- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_373%3A_Trigonometry_for_Calculus/05%3A_Graphs_of_the_Trigonometric_Functions/5.02%3A_Non-Rigid_TransformationsThis section covers non-rigid transformations of graphs of trigonometric functions, focusing on vertical and horizontal stretching, compressing, and reflecting. It explains how these transformations a...This section covers non-rigid transformations of graphs of trigonometric functions, focusing on vertical and horizontal stretching, compressing, and reflecting. It explains how these transformations affect the amplitude and period of the fundamental trigonometric functions. This section also provides examples and visual aids to help understand how altering parameters in trigonometric functions modifies their graphs, enhancing comprehension of the dynamic behavior of these functions.
- https://math.libretexts.org/Bookshelves/Linear_Algebra/Interactive_Linear_Algebra_(Margalit_and_Rabinoff)/05%3A_Eigenvalues_and_Eigenvectors/5.04%3A_Complex_EigenvaluesThis page discusses the study of matrices with complex eigenvalues, detailing the methods for calculating eigenvalues and eigenvectors, particularly for 2×2 and 3×3 matrices. It ...This page discusses the study of matrices with complex eigenvalues, detailing the methods for calculating eigenvalues and eigenvectors, particularly for 2×2 and 3×3 matrices. It highlights the significance of the characteristic polynomial, the rotation-scaling theorem, and the block diagonalization theorem, emphasizing geometric interpretations of transformations.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_384%3A_Foundations_for_Calculus/08%3A_Graphs_of_the_Trigonometric_Functions/8.02%3A_Non-Rigid_TransformationsThis section covers non-rigid transformations of graphs of trigonometric functions, focusing on vertical and horizontal stretching, compressing, and reflecting. It explains how these transformations a...This section covers non-rigid transformations of graphs of trigonometric functions, focusing on vertical and horizontal stretching, compressing, and reflecting. It explains how these transformations affect the amplitude and period of the fundamental trigonometric functions. This section also provides examples and visual aids to help understand how altering parameters in trigonometric functions modifies their graphs, enhancing comprehension of the dynamic behavior of these functions.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_375%3A_Pre-Calculus/08%3A_Graphs_of_the_Trigonometric_Functions/8.02%3A_Non-Rigid_TransformationsThis section covers non-rigid transformations of graphs of trigonometric functions, focusing on vertical and horizontal stretching, compressing, and reflecting. It explains how these transformations a...This section covers non-rigid transformations of graphs of trigonometric functions, focusing on vertical and horizontal stretching, compressing, and reflecting. It explains how these transformations affect the amplitude and period of the fundamental trigonometric functions. This section also provides examples and visual aids to help understand how altering parameters in trigonometric functions modifies their graphs, enhancing comprehension of the dynamic behavior of these functions.