Normal Equations in Linear Algebra

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Related lectures (28)

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Decomposition of a Vector

Covers the decomposition of a vector in a base and its applications in speed and distance calculations.

Scalar Product and Vectors

Introduces vector components, scalar and vector products, and their properties, including colinear and coplanar vectors, and the rule of the right hand.

Physics 1: Vectors and Dot Product

Covers the properties of vectors, including commutativity, distributivity, and linearity.

Linear Algebra: Properties and Equations

Introduces algebraic properties, vector equations, and matrix operations.

Linear Algebra: Operations and Applications

Explores operations and applications of linear algebra in solving equations and transformations.

Orthogonality and Projection

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.

Eigenspaces: Definitions and Examples

Introduces eigenspaces in linear algebra through definitions and practical examples of determining eigenspaces for matrices.

Matrices and Orthogonal Transformations

Explores orthogonal matrices and transformations, emphasizing preservation of norms and angles.

Linear Combinations: Vectors and Matrices

Explores linear combinations of vectors and matrices in Rn, demonstrating geometric interpretations and matrix operations.

Vector Product: Definition and Properties

Covers the definition and properties of the vector product in three-dimensional space.