12-240/Classnotes for Thursday September 27

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In this course, we will be focusing on both a practical side and a theoretical side.

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