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Related lectures (30)
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Linear Algebra: Vector Spaces and Linear Independence
Covers vector spaces, operations, and linear independence with examples from polynomials and functions.
Linear Algebra: Quadratic Forms and Matrix Diagonalization
Discusses quadratic forms, matrix diagonalization, and their applications in optimization problems.
Matrix Determinants and Linear Independence
Explores matrix determinants, linear independence, and bases in vector spaces.
Factorisation: Polynomials and Theorem
Covers irreducible polynomials, fundamental theorem of algebra, and factorization in complex and real polynomials.
Norms and Orthogonality
Explores norms, orthogonality, and the Pythagorean theorem in vector spaces.
Linear Algebra Basics
Introduces linear algebra basics, including linear independence, injectivity, surjectivity, and bases in vector spaces.
Linear Algebra: Subspaces and Combinations
Explores subspaces and linear combinations in linear algebra.
Interior Points and Convergence
Explains interior points, convergence of sequences, and the dense property in real numbers.
Linear Applications: Matrices and Spaces
Covers linear applications, matrices, and vector spaces, emphasizing the concept of linear independence.
Orthogonal Complement in Rn
Covers the concept of orthogonal complement in Rn and related propositions and theorems.