# OC118869

## University of Toronto St. George

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UTSGMAT247H1Fiona T RahmanSpring

## MAT247H1 Lecture 1: ps2sol.pdf

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23 Jan 2015
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UTSGMAT247H1Fiona T RahmanSpring

## MAT247H1 Lecture Notes - Lecture 1: Kolmogorov Space, Linear Map, Linear Combination

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23 Jan 2015
36
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UTSGMAT247H1Fiona T RahmanSpring

## MAT247H1 Chapter Notes - Chapter 2: Linear Map, Linear Independence, Orthogonal Complement

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23 Jan 2015
26
It is an easy exercise to prove that s is a subspace of v . Let s be a subset of v that contains 0. According to the fourth property of inner products,
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UTSGMAT247H1Fiona T RahmanSpring

## MAT247H1 Chapter Notes - Chapter 2: Non-Abelian Group, Invariant Subspace, Binary Operation

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23 Jan 2015
27
Mat 247 - de nitions and results on group theory. De nition: let g be nonempty set together with a binary operation (usually called mul- tiplication) t
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UTSGMAT247H1Fiona T RahmanSpring

## MAT247H1 Lecture Notes - Lecture 1: Kingdom Of Sine, Linear Map, Joule

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23 Jan 2015
26
Problem 1: it is straightforward to verify this is an inner product, again, easily veri ed using matrix multiplication. 1 4x2: not an inner product. 2,
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UTSGMAT247H1Fiona T RahmanSpring

## MAT247H1 Lecture Notes - Lecture 1: Linear Map, Spanx

OC1188692 Page
23 Jan 2015
23
Note: questions 1a), 2b), 3, 8 and 12e) will be marked: for each of the following inner product spaces v , let t : v v be the orthogonal projection of
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UTSGMAT247H1Fiona T RahmanSpring

## MAT247H1 Lecture Notes - Lecture 1: Dihedral Group, Linear Map, Group Homomorphism

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23 Jan 2015
24
Problem set 8(questions 1 15), due thursday april 2; questions 3b), 4, 8b), 10a) and 15b) will be marked. Problem set 9, questions 16 29; not to be han
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