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1 - 2i -8i -4-4i 8i 1 + 2i -4 - 4i 4 + 4i -4 - 4i 7 The characteristic polynomial of A is (+9) (x²-18 Let A = The eigenvalues of A are A₁ 9 +6 i, X₂ 9 -6 (Enter positive integers for X₁ and ₂.) X₁ Determine an unitary matrix U such that A=U 0 0 U = col com 333 호 w|m (C i and X3 = -9 09 ] i]) & ( [ 3 - +117 0 ₂ 0 UH. 0 X3 (Remember a non-zero scalar multiple of an eigenvector of A is also an eigenvector of A.)

1 - 2i -8i -4-4i 8i 1 + 2i -4 - 4i 4 + 4i -4 - 4i 7 The characteristic polynomial of A is (+9) (x²-18 Let A = The eigenvalues of A are A₁ 9 +6 i, X₂ 9 -6 (Enter positive integers for X₁ and ₂.) X₁ Determine an unitary matrix U such that A=U 0 0 U = col com 333 호 w|m (C i and X3 = -9 09 ] i]) & ( [ 3 - +117 0 ₂ 0 UH. 0 X3 (Remember a non-zero scalar multiple of an eigenvector of A is also an eigenvector of A.)

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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-4-4i -4 - 4i 7 The characteristic polynomial of A is (x+9 )(x²-18 x+117 Let A = The eigenvalues of A are A₁ = 9+6i, λ₂ =9 -6 (Enter positive integers for X₁ and X₂.) U = 1 - 2i 8i |31|3 -8i 1 + 2i 4+4i-4-4i X₁ 0 Determine an unitary matrix U such that A = U| 0X₂0 0 0 X3 11/13 H 13 i and X3 -9 w|1 이 H|3 (L T ]+[ 륭 UH (Remember a non-zero scalar multiple of an eigenvector of A is also an eigenvector of A.)
Transcribed Image Text:-4-4i -4 - 4i 7 The characteristic polynomial of A is (x+9 )(x²-18 x+117 Let A = The eigenvalues of A are A₁ = 9+6i, λ₂ =9 -6 (Enter positive integers for X₁ and X₂.) U = 1 - 2i 8i |31|3 -8i 1 + 2i 4+4i-4-4i X₁ 0 Determine an unitary matrix U such that A = U| 0X₂0 0 0 X3 11/13 H 13 i and X3 -9 w|1 이 H|3 (L T ]+[ 륭 UH (Remember a non-zero scalar multiple of an eigenvector of A is also an eigenvector of A.)
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