Loganallan
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Linear Algebra 1 - Eigenvalues and Eigenvectors. Diagonalisation
Notes on how to find the eigenvalues and eigenvectors of a matrix as well as how to determine whether a matrix is diagonalisable.
- Package deal
- Class notes
- • 21 pages •
Notes on how to find the eigenvalues and eigenvectors of a matrix as well as how to determine whether a matrix is diagonalisable.
Linear Algebra 1 - Matrix Algebra
Notes covering the rules of matrix algebra including the elementary operations, transposition and inverting a matrix.
- Package deal
- Class notes
- • 18 pages •
Notes covering the rules of matrix algebra including the elementary operations, transposition and inverting a matrix.
Linear Algebra 1 - Determinant of a Matrix
Notes on how to find the determinant of an nxn matrix. Includes a number of theorems related to the determinant of a matrix as well as the effects of the determinant under elementary operations.
- Package deal
- Class notes
- • 22 pages •
Notes on how to find the determinant of an nxn matrix. Includes a number of theorems related to the determinant of a matrix as well as the effects of the determinant under elementary operations.
Linear Algebra 1 - Rank of a Matrix
Definitions of rank and minors of a matrix with all associated theorems needed for this section of Linear Algebra 1.
- Package deal
- Class notes
- • 8 pages •
Definitions of rank and minors of a matrix with all associated theorems needed for this section of Linear Algebra 1.
Linear Algebra 1 - Cayley-Hamilton Theorem
Notes on the Cayley-Hamilton Theorem in Linear Algebra with its corollary and a rigorous proof.
- Package deal
- Class notes
- • 6 pages •
Notes on the Cayley-Hamilton Theorem in Linear Algebra with its corollary and a rigorous proof.
Linear Algebra 1 - Vector Spaces
Notes defining vector spaces and linear combinations for linear algebra. Includes all theorems required for the module section as well as examples and diagrams.
- Package deal
- Class notes
- • 29 pages •
Notes defining vector spaces and linear combinations for linear algebra. Includes all theorems required for the module section as well as examples and diagrams.
Linear Algebra 1 - Systems of Linear Equations
Notes on methods of solving systems of linear equations (or simultaneous equations including the Gauss Elimination Method.
- Package deal
- Class notes
- • 19 pages •
Notes on methods of solving systems of linear equations (or simultaneous equations including the Gauss Elimination Method.
Linear Algebra 1 - Subspaces
Notes on subspaces of vector spaces including examples, their operations, respective theorems and propositions as well as visual representations.
- Package deal
- Class notes
- • 13 pages •
Notes on subspaces of vector spaces including examples, their operations, respective theorems and propositions as well as visual representations.