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Linear Algebra 1 - Complete Notes
The full set of lecture notes for Linear Algebra 1 which I used to earn 87% in the module.
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Linear Algebra 1 - Subspaces
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Notes on subspaces of vector spaces including examples, their operations, respective theorems and propositions as well as visual representations.
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Linear Algebra 1 - Systems of Linear Equations
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Notes on methods of solving systems of linear equations (or simultaneous equations including the Gauss Elimination Method.
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Linear Algebra 1 - Vector Spaces
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Notes defining vector spaces and linear combinations for linear algebra. Includes all theorems required for the module section as well as examples and diagrams.
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Add to cartNotes defining vector spaces and linear combinations for linear algebra. Includes all theorems required for the module section as well as examples and diagrams.
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Linear Algebra 1 - Cayley-Hamilton Theorem
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Notes on the Cayley-Hamilton Theorem in Linear Algebra with its corollary and a rigorous proof.
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Linear Algebra 1 - Rank of a Matrix
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Definitions of rank and minors of a matrix with all associated theorems needed for this section of Linear Algebra 1.
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Add to cartDefinitions of rank and minors of a matrix with all associated theorems needed for this section of Linear Algebra 1.
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Linear Algebra 1 - Determinant of a Matrix
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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.
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Linear Algebra 1 - Matrix Algebra
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Notes covering the rules of matrix algebra including the elementary operations, transposition and inverting a matrix.
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Linear Algebra 1 - Eigenvalues and Eigenvectors. Diagonalisation
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Notes on how to find the eigenvalues and eigenvectors of a matrix as well as how to determine whether a matrix is diagonalisable.
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Add to cartNotes on how to find the eigenvalues and eigenvectors of a matrix as well as how to determine whether a matrix is diagonalisable.
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