Matrix Operations: Properties and Examples

Related lectures (31)

Page 3 of 4

Explores matrix operations, coefficients, multiplication properties, and the power of matrices.

Explores polynomial operations, properties, and subspaces in vector spaces.

Covers linear applications, matrices, injectivity, surjectivity, and matrix multiplication properties.

Covers the properties and calculations of matrix determinants, including triangular matrices and elementary row operations.

Covers matrix operations, including multiplication, transposition, powers, and inverses, and explains how to determine if a matrix is invertible.

Explores the associativity property of matrix multiplication for proving products equal to zero.

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

Covers calculations and algorithms for determining the determinant of a matrix, including permuting rows and multiplying by coefficients.

Covers elementary matrices, their properties, and the algorithm to find the inverse of a matrix.

Covers matrix notation, arithmetic, multiplication, algorithms, and complexity of matrix multiplication.