Construct a symmetric matrix A with eigenvalues A1 -3 and 2 =7 and %3D 2 corresponding orthogonal eigenvectors V1 and V2 = a11 a12 respectively. If A then the value of a11 is %3D a21 a22 , the value of a12 is the value of a21 is and the value of a22 is

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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Construct a symmetric matrix A with eigenvalues A1 = -3 and 2 = 7 and
1
and V2 =
corresponding orthogonal eigenvectors V1
%3D
1
a11
a12
respectively. If A
, then the value of a11 is
a21
a22
, the value of A12 is
A, the value of a21 is
and the value of A22 is
Transcribed Image Text:Construct a symmetric matrix A with eigenvalues A1 = -3 and 2 = 7 and 1 and V2 = corresponding orthogonal eigenvectors V1 %3D 1 a11 a12 respectively. If A , then the value of a11 is a21 a22 , the value of A12 is A, the value of a21 is and the value of A22 is
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