[4₁] = [1 1 -2] 21 1 -1 -1 2 . [-1 0 01 -1 . [®] = | o 0

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question

Given the tensors expressed as: (See image for Tensors)

Determine the:

(i) Characteristic equation of [Aij]

(ii) Eigen values of [Bij]

-21
1
01 -1.
1 1
1
[Aij] - [
-1 2
-1
[By] = 0
0
0
-1 0
0
01
1]
Transcribed Image Text:-21 1 01 -1. 1 1 1 [Aij] - [ -1 2 -1 [By] = 0 0 0 -1 0 0 01 1]
Expert Solution
Step 1: Define the Characteristics equation of the matrix:

To determine the Characteristics equation,

open vertical bar A subscript i j end subscript minus lambda I subscript i j end subscript close vertical bar equals 0


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