Let A = 8 0 0 00 -00 8 0 0 - 100 PR 32 8 - 16 and v= + C Define T: R³ R³ by T(x) = Ax. Find T(u) and T(v). C1 d
Let A = 8 0 0 00 -00 8 0 0 - 100 PR 32 8 - 16 and v= + C Define T: R³ R³ by T(x) = Ax. Find T(u) and T(v). C1 d
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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Question
Help with the following question.
Find T(u) and T(v).
Expert Solution
Step 1
We are given that
T : R3 → R3 such that
T(x) = Ax
So, T(u) = Au
|– 1/8 0 0 –| |– 32 –|
= | 0 1/8 0 | | 8 |
|_ 0 0 1/8 _| |_ -16 _|
|– 4 –|
= | 1 |
|_ -2 _| [Ans]
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