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Related lectures (14)
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Cramer's Rule and Volume
Covers Cramer's Rule, matrix inverse, determinants, and volume in linear algebra.
Change of Variables in Double Integrals
Explores changing variables in double integrals through examples and curvilinear coordinates.
Strategies for Determinant Calculation
Covers strategies for calculating determinants and their geometric interpretation in various dimensions.
Analytical Geometry: Cross Product and Orientation
Explains the cross product in analytical geometry and vector orientation.
Symmetry in Parallelograms
Explores the concept of symmetry in parallelograms and the properties of their diagonals.
Parallelogram Problems: Vector Calculus
Covers problems with parallelograms and double integrals over different regions.
Geometric Interpretation of Determinants
Explores the geometric interpretation of determinants in R2 and R3 vector spaces.
Optimization Problems
Explores optimization problems to find global extrema of functions over domains.
Linear Dependence of Vectors
Explores linear dependence of vectors, demonstrating examples and conditions for collinearity.
Gothic Surfaces: Curvature, Development, and Stereotomy
Delves into the geometric principles of Gothic architecture, focusing on surface curvature and stereotomy techniques.
Regular Polyhedra: Definitions and Symmetries
Explores the definitions and symmetries of regular polyhedra, focusing on the five known convex regular polyhedra from ancient times.
Regular Polyhedra: Definitions and Symmetries
Explores the definitions and symmetries of regular polyhedra, shedding light on ancient geometry and modern mathematical formalization.
Vector Product in Physics
Covers the vector product in physics, explaining its properties and applications in 3D space.
Efforts in Structures II: Maximums and Signs
Analyzes efforts in trusses, emphasizing maximum values and sign distribution in different members.
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