39. In each of the following, find the 4 X 4 matrix A = [a,j] that satisfies the given condition: (a) a₁ = (-1)i+j aij (c) A ij = (i − 1)j - (b) aij = j i - 1)π (d) a₁ = sin((i+j - Dz) Ajj
39. In each of the following, find the 4 X 4 matrix A = [a,j] that satisfies the given condition: (a) a₁ = (-1)i+j aij (c) A ij = (i − 1)j - (b) aij = j i - 1)π (d) a₁ = sin((i+j - Dz) Ajj
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 70EQ
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![39. In each of the following, find the 4 X 4 matrix A = [a¡j]
that satisfies the given condition:
(a) a = (-1)i+j
(b) aij = j
(c) A ij
=
(i − 1)j
-
(d) Ajj
= sin
i
(i + j − 1)π](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ab8c3e6-4b30-4b49-a58d-88e41bd78c6f%2Fb0654447-a24e-4bbb-8cf4-7aa09472095c%2Fzjoln8_processed.png&w=3840&q=75)
Transcribed Image Text:39. In each of the following, find the 4 X 4 matrix A = [a¡j]
that satisfies the given condition:
(a) a = (-1)i+j
(b) aij = j
(c) A ij
=
(i − 1)j
-
(d) Ajj
= sin
i
(i + j − 1)π
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