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Given a = = 5e2 and b = 2e₁ + €3, let C = a b. If the tensor C operates on another vector d = 7e1 +2e2- €3: (a) Calculate the resulting vector. (b) Symbolically, how would the result be expressed in terms of b, d and a?

Given a = = 5e2 and b = 2e₁ + €3, let C = a b. If the tensor C operates on another vector d = 7e1 +2e2- €3: (a) Calculate the resulting vector. (b) Symbolically, how would the result be expressed in terms of b, d and a?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Given a = 5e2 and b = 2e₁ + €3, let C = ab. If the tensor C operates on another vector d = 7e₁ +2e2- €3: (a) Calculate the resulting vector. (b) Symbolically, how would the result be expressed in terms of b, d and a?
Transcribed Image Text:2. Given a = 5e2 and b = 2e₁ + €3, let C = ab. If the tensor C operates on another vector d = 7e₁ +2e2- €3: (a) Calculate the resulting vector. (b) Symbolically, how would the result be expressed in terms of b, d and a?
Expert Solution
Step 1: Introduction

Given vectors are written as follows.

table row a equals cell 5 e subscript 2 end cell row b equals cell 2 e subscript 1 plus e subscript 3 end cell row d equals cell 7 e subscript 1 plus 2 e subscript 2 minus e subscript 3 end cell end table

Given that C equals a circled times b.

Given that C operates on a vector d.

We need to find the resultant vector.

We know that a circled times b equals a b to the power of T.

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