N dimensional vector spaces over 𝔽 Flashcards
1
Q
transpose of a matrix
A
flips columns and rows
2
Q
transpose rules. (AB)ᵀ =
A
BᵀAᵀ
3
Q
transpose rules. v in 𝔽ⁿcol
A
is vᵀ in 𝔽ⁿrow
4
Q
transpose rules. (Av)ᵀ =
A
vᵀAᵀ
5
Q
transpose rules. (vA)ᵀ =
A
Aᵀvᵀ
6
Q
vector point addition ⊕
A
point ⊕ vector = point
a,b,c)⊕(d e f) = (a+d, b+e, c+f
7
Q
point subtraction ⊖
A
point ⊖ point = vector
a,b,c)⊖(d,e,f) = (a-d b-e c-f
8
Q
matrix notation
A
Mₘ,ₙ(𝔽)
where m is the no. rows and n is the no. columns
