[a11 a12 a13 0 a21 022 38-8 b3 a31 0 0 Which of the following algorithm's will find [x]?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 56EQ
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need answer and hand written work please.

a12 a13
a21
0
= by
[]}
b3
(31 0 0
Which of the following algorithm's will find [x]?
b-Σ|aijaj
T; -
aji
b; -Σ; kHaijz;
dik
bk Σιακα;
Okk
Uk
Ik
by
i = 2,3,...nx₁ =
a11
=
i = 1,2,...n k = n - (i - 1) ,
i = nn - 1,...1_k=n-(i -1) 1
bi
din
bn
anl
Transcribed Image Text:a12 a13 a21 0 = by []} b3 (31 0 0 Which of the following algorithm's will find [x]? b-Σ|aijaj T; - aji b; -Σ; kHaijz; dik bk Σιακα; Okk Uk Ik by i = 2,3,...nx₁ = a11 = i = 1,2,...n k = n - (i - 1) , i = nn - 1,...1_k=n-(i -1) 1 bi din bn anl
*k =
b-Σ|aija;
aki
i = m, n – 1,...1_k=n- (i - 1) 1
=
bn
anl
Transcribed Image Text:*k = b-Σ|aija; aki i = m, n – 1,...1_k=n- (i - 1) 1 = bn anl
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