Lectures related to Multiplications of vectors and matrices

Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.

Covers the fundamentals of linear equations, matrices, and systems of linear equations, including matrix operations and solutions.

Explores the properties of invertible matrices, including unique solutions and linear independence.

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Delves into linear equations, vector spaces, and matrix operations, exploring solutions and representations through examples and algebraic methods.

Covers matrix operations, definitions, properties, and vector operations in Rn, essential for understanding linear algebra concepts.

Explores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.

Explores mathematical operations with matrices and vectors, including scalar product and matrix multiplication.

Covers the basic operations on matrices, including addition, scalar multiplication, and matrix multiplication.

Covers elementary matrix operations and vector spaces, including properties and conditions for invertibility.

Covers matrix equations as linear combinations, vector spaces, and geometric interpretations.

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Covers linear equations, characteristic polynomials, solutions, and matrices with operations like addition and multiplication.

Covers the definition and basic operations of matrices, including addition, scalar multiplication, and matrix multiplication.

Explores LU factorization, rounding-off errors, sparse matrices, and matrix operations using MATLAB.

Introduces key concepts in linear algebra, including matrices, operations, and numerical invariants.

Covers matrix calculus, including operations and determinants.

Covers matrix addition, scalar multiplication, transposition, symmetry, and antisymmetry properties.

Explores vector space operations, linear transformations, matrix representation, and linear applications.