smonfourny/math223

Class notes for MATH223 at McGill University

math223's Issues

last line of page 22

is that a 0 = b?

typo pg 51

scalar should be d

typo pg 56

theorem 35 - idea of proof T(v)v∈V -- extra v

typo pg 69

example after thm 43. i think its Q^Beta_Alpha instead of Q^Alpha_Beta..?

typo pg 57

2. The column space,col(A)is span of columns. Subspace of K^n. <-- subspace of K^m?

typo on pg 25

under "illustration of this theorem": I think you meant xy-plane instead of xy-plan

typo mar 20

Last Time: Norm(length) is ||v|| = √(<v,v>)

typo p 18

"operatios"

typo page 15

fof

typo pg 40

last line of pg 40, i think it's 0v = T(0u) right? Cancellation law

typo pg 45

theorem 25 (i) Hencecv1+v2∈Ker(T). SoKer(T)⊆V(we already knewKer(T)⊆V
I think this is Ker(T)≤V

typos inner product on Mnxn(K)

in the first example: conjugate of 2+i is 2-i

typo on page 8

"mans" -- I think it's supposed to be "means"?

Typo page 10

Missing parenthesis

polynomial addition, pg 10

Is this ix?

typo pg 44

basis* instead of basiss

typo pg 68

example right after theorem 42.
ExT:P2(R)→P2(R)defined byT(f(x)) =x f(x) +f(1). ProveTisinvertible, give formula forT−1(ax2+bx+c) i think this is T(f(x)) =x f'(x) +f(1) ? (missing single quote for derivative operator)