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Week of...
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Notes and Links
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| 1
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Sep 10
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About This Class, Tuesday, Thursday
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| 2
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Sep 17
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HW1, Tuesday, Thursday, HW1 Solutions
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| 3
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Sep 24
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HW2, Tuesday, Class Photo, Thursday
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| 4
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Oct 1
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HW3, Tuesday, Thursday
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| 5
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Oct 8
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HW4, Tuesday, Thursday
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| 6
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Oct 15
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Tuesday, Thursday
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| 7
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Oct 22
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HW5, Tuesday, Term Test was on Thursday. HW5 Solutions
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| 8
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Oct 29
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Why LinAlg?, HW6, Tuesday, Thursday, Nov 4 is the last day to drop this class
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| 9
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Nov 5
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Tuesday, Thursday
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| 10
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Nov 12
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Monday-Tuesday is UofT November break, HW7, Thursday
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| 11
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Nov 19
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HW8, Tuesday,Thursday
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| 12
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Nov 26
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HW9, Tuesday , Thursday
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| 13
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Dec 3
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Tuesday UofT Fall Semester ends Wednesday
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| F
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Dec 10
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The Final Exam (time, place, style, office hours times)
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| Register of Good Deeds
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Add your name / see who's in!
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Vector Spaces
Vector space axioms
(Quick recap)
VS1. x + y = y + x
VS2. (x + y) + z = x + (y + z)
VS3. 0 vector
VS4. + inverse -> -
VS5. 1x = x
VS6. a(bx) = (ab)x
VS7. a(x + y) = ax + ay
VS8. (a+b)x = ax + bx
Theorems
1.a x + z = y + z => x = y
1.b ax = ay, a != 0, => x = y
1.c ax = bx, x != 0, => a = b
2. 0 is unique.
3. Additive inverse is unique.
4. 0_F * x = 0_V
5. a * 0_V = 0_V
6. (-a) x = -(ax) = a(-x)
7. cx = 0 <=> c = 0 or x = 0_V
