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Related lectures (43)
Matlab: Interactive Mode and Project Steps
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Introduces Matlab basics, error handling, and billiards project concepts.
Vector Equations and Linear Combinations
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Covers vector equations, linear combinations, and the span of vectors.
Matrix Equations: Linear Combinations
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Covers matrix equations as linear combinations, vector spaces, and geometric interpretations.
Linear Algebra: Applications and Matrices
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Explores linear algebra concepts through examples and theorems, focusing on matrices and their operations.
Matrix Operations: Coefficients, Combinations, and Applications
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Covers matrix operations, coefficients, combinations, and applications in various scenarios.
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Matrix Equations and Solutions
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Explores matrix equations, solutions, properties, and vector spaces in linear algebra.
Linear Algebra: Integers
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Explores linear algebra over integers, emphasizing solutions to A.x=b equations and Hermite normal form.
Vectors: Definitions and Operations
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Introduces vector definitions, displacement, addition, and applications in geometry.
Analytical Geometry: Mixed Product and Determinant
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Covers the analytical expression of the mixed product and its applications.
Matrix Inversion: Basics and Properties
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Covers the basics of matrix inversion, properties of matrix multiplication, and the uniqueness of matrix inverses.
Linear Algebra: Basis Change and Matrices
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Explores basis change in linear algebra and the role of matrices.
Gaussian Elimination Method
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Explains the Gaussian elimination method for solving linear equations through row operations and pivoting.
Linear Systems: Diagonal and Triangular Matrices, LU Factorization
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Covers linear systems, diagonal and triangular matrices, and LU factorization.
Vector Transformation Law
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Covers the transformation law of vectors and their properties, emphasizing direction and magnitude.
Jacobi and Gauss-Seidel methods
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Explains the Jacobi and Gauss-Seidel methods for solving linear systems iteratively.
Vector Manipulation: Live Written Corrections
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Covers vector manipulation, including Cartesian coordinates, magnitudes, angles, and resultant forces through live written corrections of exercises.
Kinematics and Dynamics: Reference Frames, Vectors, and Accelerations
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Explores reference frames, vectors, accelerations, and rotations in physics, including kinematics of a material point and uniform circular motion.
Analytical Geometry: Symmetry of Vectors
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Explores the symmetry of vectors with respect to a line in Analytical Geometry.
Motion in Two and Three Dimensions
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Covers motion in two and three dimensions, including projectile motion and gravity effects.
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