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Linear Algebra (Michaelmas 2012)

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Author(s): I. Grojnowski, notes taken by Alex Chan
Series: lecture notes
Edition: version 7 May 2013
Year: 2013

Language: English
Commentary: Downloaded from https://alexwlchan.net/files/linear-algebra.pdf
Pages: 85

Definitions......Page 5
Subspaces......Page 7
Bases......Page 8
Linear maps and matrices......Page 13
Conservation of dimension: the rank-nullity theorem......Page 19
Sums and intersections of subspaces......Page 23
Endomorphisms......Page 27
Determinants......Page 28
Eigenvectors and eigenvalues......Page 37
Cayley-Hamilton theorem......Page 43
Combinatorics of nilpotent matrices......Page 47
Applications of JNF......Page 52
Duals......Page 55
Bilinear forms......Page 59
Symmetric forms......Page 61
Anti-symmetric forms......Page 66
Hermitian forms......Page 71
Inner product spaces......Page 73
Hermitian adjoints for inner products......Page 76