The cross product of two vectors in R³ is defined byb₁HHE=b35Let = 2-8A =a1100a2A3a₂b3-a3b₂a3b₁-a₁b3a₁b₂-a₂b₁.3Find the matrix A of the linear transformation from R³ to R³ given by T(x) = √x x.

Let = A = The cross product of two vectors in R³ is defined by a1 HH xb₂ = b3 [] b₁ a2b3-a3b₂ a3b₁-a₁b3 a₁b₂-a₂b₁. Find the matrix A of the linear transformation from R³ to R³ given by T(x) : =vxx.

Let = A = The cross product of two vectors in R³ is defined by a1 HH xb₂ = b3 [] b₁ a2b3-a3b₂ a3b₁-a₁b3 a₁b₂-a₂b₁. Find the matrix A of the linear transformation from R³ to R³ given by T(x) : =vxx.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.8: Determinants

Problem 8E

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Question

The cross product of two vectors in R³ is defined by
b₁
HHE
=
b3
5
Let = 2
-8
A =
a1
100
a2
A3
a₂b3-a3b₂
a3b₁-a₁b3
a₁b₂-a₂b₁.
3
Find the matrix A of the linear transformation from R³ to R³ given by T(x) = √x x.

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