Let Verify that H is hermitian. Find its eigenvalues. H = 1 1+2 - i 0 Find and normalize the eigenvectors and show that they are orthogonal. Construct the unitary diagonalizing matrix U, and check explicitly that it diag H.
Let Verify that H is hermitian. Find its eigenvalues. H = 1 1+2 - i 0 Find and normalize the eigenvectors and show that they are orthogonal. Construct the unitary diagonalizing matrix U, and check explicitly that it diag H.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 11AEXP
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Step 1: Given:
VIEWStep 2: (a) Verifying if A is hermitian:
VIEWStep 3: (b) Calculating Tr(A) and det(A):
VIEWStep 4: (c) Finding the eigenvalues of A:
VIEWStep 5: (d) Calculating the diagonalised version of A:
VIEWStep 6: (e) Finding the orthogonal vectors of A:
VIEWStep 7: (f) Finding the unitary matrix U that diagonalises A:
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