Matrices 1

Matrices MM1 module 3, lecture 1 David Godfrey

Matrices lecture 1 objectives ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

What is a matrix? ,[object Object],[object Object],[object Object]

Order of matrices… ,[object Object],[object Object]

… Order of matrices ,[object Object],[object Object],[object Object]

Specifying matrix elements ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

What are matrices used for? ,[object Object],[object Object],[object Object]

Matrix operations: scalar multiplication ,[object Object],[object Object]

Matrix operations: addition… ,[object Object],[object Object]

… Matrix operations: addition ,[object Object],[object Object]

Matrix operations: multiplication… ,[object Object]

… Matrix operations: multiplication… ,[object Object]

… Matrix operations: multiplication… ,[object Object],[object Object]

… Matrix operations: multiplication ,[object Object],[object Object],[object Object],[object Object]

Matrix operations: transpose… ,[object Object],[object Object],[object Object]

… Matrix operations: transpose ,[object Object],[object Object],[object Object]

Special matrices: row and column ,[object Object],[object Object]

Special matrices: square ,[object Object]

Special matrices: diagonal ,[object Object],[object Object],[object Object]

Special matrices: triangular ,[object Object],[object Object]

Special matrices: null ,[object Object],[object Object]

Special matrices: identity… ,[object Object],[object Object],[object Object]

… Special matrices: identity ,[object Object],[object Object],[object Object]

Determinant of a 2  2 matrix… ,[object Object],[object Object],[object Object],[object Object]

… Determinant of a 2  2 matrix… ,[object Object],[object Object],[object Object]

… Determinant of a 2  2 matrix ,[object Object],[object Object],[object Object]

Inverse of a matrix ,[object Object],[object Object],[object Object],[object Object],[object Object]

Inverse of a 2  2 matrix… ,[object Object],[object Object]

… Inverse of a 2  2 matrix… ,[object Object],[object Object]

… Inverse of a 2  2 matrix… ,[object Object],[object Object],[object Object],[object Object]

… Inverse of a 2  2 matrix ,[object Object],[object Object],[object Object]

Recommended