Given a complex matrix A follows: 1 + i 4 A = 6 1-i Questions: a. Check whether matrix A is Hermitian matrix? b. Determine the characteristic values along with the characteristic vectors of the pair? c. Through the relationship AP = PD, where D is the diagonal matrix, determine the unitary matrix P that diagonalizes A? d. Write down the diagonal matrix D referred to (show that D = P*AP)?
Given a complex matrix A follows: 1 + i 4 A = 6 1-i Questions: a. Check whether matrix A is Hermitian matrix? b. Determine the characteristic values along with the characteristic vectors of the pair? c. Through the relationship AP = PD, where D is the diagonal matrix, determine the unitary matrix P that diagonalizes A? d. Write down the diagonal matrix D referred to (show that D = P*AP)?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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