The cross product of two vectors in R³ is defined by a1 b₁ BHBH a2 b3 Let v = 3 2 2 -2 Find the matrix A of the linear transformation L : R³ → R³ given by L(x) = = V X X. A = a2b3 — a3b2 a3b₁-a1b3 a₁b₂-a₂b₁

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.EA: Extended Application Contagion
Problem 1EA: Find the second-order contact matrix PQ mentioned in the text.
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The cross product of two vectors in R³ is defined by
Let v =
2
2
a1
b₁
a2 X b2
a3b1 — ab3
[ BB64
az
b3
3
a₂b3-a3b2
a₁b₂-a₂b₁
Find the matrix A of the linear transformation L: R³ → R³ given by L(x) = v × x.
441333)
A =
Transcribed Image Text:The cross product of two vectors in R³ is defined by Let v = 2 2 a1 b₁ a2 X b2 a3b1 — ab3 [ BB64 az b3 3 a₂b3-a3b2 a₁b₂-a₂b₁ Find the matrix A of the linear transformation L: R³ → R³ given by L(x) = v × x. 441333) A =
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