These complete lecture notes contain all the information for Linear Algebra I in Michaelmas term for Oxford University. Topics such as bases, subspaces, inner product spaces, matrix manipulation and many more are covered
Class notes Physics A Course in Mathematical Analysis
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University of Oxford
Mathematics
Linear Algebra I
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Linear Algebra I
Vicky Neale
Michaelmas Term 2019
Contents
1 Introduction 2
2 Linear equations and matrices 3
2.1 Systems of linear equations . . . . . . . . . . . . . . . . . . . . 3
2.2 Solving systems of simultaneous linear equations using matrices 10
2.3 Elementary Row Operations (EROs) . . . . . . . . . . . . . . 13
2.4 Historical interlude 1 . . . . . . . . . . . . . . . . . . . . . . . 15
2.5 Reduced row echelon (RRE) form . . . . . . . . . . . . . . . . 16
2.6 Elementary matrices and the use of EROs to compute inverses 17
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