9.60. Find a real 2 x 2 symmetric matrix A with eigenvalues: (a) i =1 and i = 4 and eigenvector u = (1, 1) belonging to i = 1; (b) i = 2 and i = 3 and eigenvector u = (1,2) belonging to 2 = 2. %3D %3D In each case, find a matrix B for which B? = A.

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ISBN:9780470458365
Author:Erwin Kreyszig
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CHAPTER 9 Diagonalization: Eigenvalues and Eigenvectors
9.60. Find a real 2 x 2 symmetric matrix A with eigenvalues:
(a) i = 1 and i = 4 and eigenvector u = (1, 1) belonging to i = 1;
(b) i = 2 and 1 = 3 and eigenvector u = (1,2) belonging to 2 = 2.
%3D
In each case, find a matrix B for which B2 = A.
Transcribed Image Text:CHAPTER 9 Diagonalization: Eigenvalues and Eigenvectors 9.60. Find a real 2 x 2 symmetric matrix A with eigenvalues: (a) i = 1 and i = 4 and eigenvector u = (1, 1) belonging to i = 1; (b) i = 2 and 1 = 3 and eigenvector u = (1,2) belonging to 2 = 2. %3D In each case, find a matrix B for which B2 = A.
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