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Related lectures (30)
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Linear Algebra in 2D: Reduction Applications
Explores the application of reductions in R² for linear functions, emphasizing the calculation of f composed n times with itself.
PCA: Intuition
Covers the basics of PCA, exercises on dimensionality reduction, and criteria for choosing projections.
Advanced Analysis II: Taylor Expansion
Covers the Taylor expansion and properties of the Hessian matrix for stationary points.
Linear Maps and Matrices
Covers linear maps, matrices, and applications, including exercises on bases and invertibility.
Approximation of Functions
Covers the approximation of functions using tangent lines and derivatives.
Linear Maps: Dimension and Bases
Explores the dimension of linear maps and the construction of bases.
Matrix Representation: Circuit Equations
Covers the process of writing circuit equations in matrix form and solving for currents using the inversion method.
Objective function, Linearity and nonlinearity
Explores linear and non-linear functions in optimization, emphasizing their distinct characteristics and implications in solving problems.
Exam Q10 solution
Discusses the misconception that an injective linear map must have M strictly smaller than N.
Isometries: Definition and Examples
Explores isometries, distinguishing between rotations and reflections, and the preservation of orientation in geometric transformations.
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