The cross product of two vectors in R³ is defined by b₁ a₂b3 - a3b₂ 8-0-6-3 b₂ a3b₁ - α₁b3 b3 a₁b₂ - a₂b₁ Let v = a1 a2 7 H 5 Find the matrix A of the linear transformation from R³ to R³ -6 given by T(x) = x x. D

Elementary Linear Algebra (MindTap Course List)
8th Edition
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Author:Ron Larson
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Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 72E: Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.
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The cross product of two vectors in R³ is defined by
a2bვ — aვხ
a3b
A =
a1
2
a3
X
b₁
ხი
b3
=
a3b
a1b2 − a2b1
— aqხვ
-
7
Let v = 5 . Find the matrix A of the linear transformation from lP3 to l3
---[-]
-6
given by T(x) = 7 × x.
Transcribed Image Text:The cross product of two vectors in R³ is defined by a2bვ — aვხ a3b A = a1 2 a3 X b₁ ხი b3 = a3b a1b2 − a2b1 — aqხვ - 7 Let v = 5 . Find the matrix A of the linear transformation from lP3 to l3 ---[-] -6 given by T(x) = 7 × x.
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