N dimensional vector spaces over 𝔽 Flashcards by Lucy Clare

Q

transpose of a matrix

A

flips columns and rows

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Q

transpose rules. (AB)ᵀ =

A

BᵀAᵀ

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Q

transpose rules. v in 𝔽ⁿcol

A

is vᵀ in 𝔽ⁿrow

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Q

transpose rules. (Av)ᵀ =

A

vᵀAᵀ

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Q

transpose rules. (vA)ᵀ =

A

Aᵀvᵀ

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Q

vector point addition ⊕

A

point ⊕ vector = point

a,b,c)⊕(d e f) = (a+d, b+e, c+f

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Q

point subtraction ⊖

A

point ⊖ point = vector

a,b,c)⊖(d,e,f) = (a-d b-e c-f

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Q

matrix notation

A

Mₘ,ₙ(𝔽)

where m is the no. rows and n is the no. columns

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