6-li -12i 12i 6 + li 2+6i -6- 2i The characteristic polynomial of A is (x+ Let A = The eigenvalues of A are λ1 = + i, λ2 = (Enter positive integers for 1 and 22.) U = | 3 ( λ1 Determine an unitary matrix U such that A = U|| 0 0 3 -2 - 6i -6-2i 15 + + + i and 23 = + i) 3( + + )(x²_ at x+ 0 0 12 0 0 13. (Remember a non-zero scalar multiple of an eigenvector of A is also an eigenvector of A.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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6-li -12i
12i
6 + li
2+6i -6- 2i
The characteristic polynomial of A is (x+
Let A =
The eigenvalues of A are
λ1 = + i, λ2 =
(Enter positive integers for 1 and 22.)
U =
| 3 (
λ1
Determine an unitary matrix U such that A = U|| 0
0
3
-2 - 6i
-6-2i
15
+
+
+
i and 23 =
+
i)
3(
+
+
)(x²_
at
x+
0 0
12
0
0
13.
(Remember a non-zero scalar multiple of an eigenvector of A is also an eigenvector of A.)
Transcribed Image Text:6-li -12i 12i 6 + li 2+6i -6- 2i The characteristic polynomial of A is (x+ Let A = The eigenvalues of A are λ1 = + i, λ2 = (Enter positive integers for 1 and 22.) U = | 3 ( λ1 Determine an unitary matrix U such that A = U|| 0 0 3 -2 - 6i -6-2i 15 + + + i and 23 = + i) 3( + + )(x²_ at x+ 0 0 12 0 0 13. (Remember a non-zero scalar multiple of an eigenvector of A is also an eigenvector of A.)
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