Suppose that A is a 3 x 3 matrix with the following properties: 4 -5 is an eigenvector for A corresponding to A = 3 • u = -1 12 15 is an eigenvector for A corresponding to A : - 2 • v = %3D - 2 Compute the third column of A.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.4: Orthogonal Diagonalization Of Symmetric Matrices
Problem 16EQ
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Suppose that A is a 3 x 3 matrix with the following properties:
4
is an eigenvector for A corresponding to A = 3
- 1
• u =
- 5
12
– 15 | is an eigenvector for A corresponding to d
- 2
• v =
- 2
Compute the third column of A.
Transcribed Image Text:Suppose that A is a 3 x 3 matrix with the following properties: 4 is an eigenvector for A corresponding to A = 3 - 1 • u = - 5 12 – 15 | is an eigenvector for A corresponding to d - 2 • v = - 2 Compute the third column of A.
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