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Exercise Set 1
(August
11, 2003)
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Algebraic
Preliminaries |
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Exercise Set 2
(August
18, 2003)
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Vector
spaces -- Subspaces |
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Exercise set 3
(August
18, 2003)
|
Generating
systems, Linear independence, Bases |
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Exercise set 4
(August
29, 2003)
|
Dimension
of vector spaces |
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Exercise set 5
(September
05, 2003) |
Affine spaces and affine subspaces |
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Test 1
(September
06, 2003) |
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Exercise set 6
(September
12, 2003) |
Linear maps |
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Exercise set 7
(September
19, 2003) |
Rank theorem |
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Exercise set 8
(September
24, 2003) |
Direct sums and projections |
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Exercise set 9
(September
24, 2003) |
Dual
spaces |
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Exercise set 10
(September
24, 2003) |
Quotient spaces -- Exact
sequences |
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Test 2
(October 05, 2003) |
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Exercise set 11
(October
15, 2003) |
Operations of groups |
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Exercise set 12
(October
15, 2003) |
Affine maps ---
Affine groups, Fundamental theorem of affine geometry |
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Exercise set 13
(October
17, 2003) |
Matrices |
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Exercise set
13A (October
23, 2003) |
Matrices
--- Rank of matrices, Elementary matrices |
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Exercise set 14
(October
27, 2003) |
Determinants |
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Exercise set
14A (October
29, 2003) |
Determinants
--- Rules for computation |
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Exercise set
14B (October
29, 2003) |
Determinants ---
Orientation, Volume computation |
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