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12+3i 1) A = 7+4i -12- 6i -5-7i -1+i 3-i a) This matrix is diagonalizable b) The P matrix would be 10+4i 7+4i 1 and this would correspond to the D matrix This matrix has eigenvalues λ = 2-1, 2-3i, 4.

12+3i 1) A = 7+4i -12- 6i -5-7i -1+i 3-i a) This matrix is diagonalizable b) The P matrix would be 10+4i 7+4i 1 and this would correspond to the D matrix This matrix has eigenvalues λ = 2-1, 2-3i, 4.

Advanced Engineering Mathematics
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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For each matrix below, you are given all eigenvalues of the matrix. Indicate if the matrix is diagonalizable with T or F. If the matrix is diagonalizable, PDP-1. If the matrix is not diagonalzable, then write 0 for all entries for both matrices. provide a P and a diagonal matrix D such that A = 1) A = 12+3i 7+4i -1+i -12- 6i 10+4i -5-7i 7+4i 3-i 1 a) This matrix is diagonalizable b) The P matrix would be and this would correspond to the D matrix This matrix has eigenvalues λ = 2-i, 2-3i, 4.
Transcribed Image Text:For each matrix below, you are given all eigenvalues of the matrix. Indicate if the matrix is diagonalizable with T or F. If the matrix is diagonalizable, PDP-1. If the matrix is not diagonalzable, then write 0 for all entries for both matrices. provide a P and a diagonal matrix D such that A = 1) A = 12+3i 7+4i -1+i -12- 6i 10+4i -5-7i 7+4i 3-i 1 a) This matrix is diagonalizable b) The P matrix would be and this would correspond to the D matrix This matrix has eigenvalues λ = 2-i, 2-3i, 4.
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