Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the eigenvalues are 13 and -4. Enter the matrices P and D below. -8-4-2 -4-8-2 -2-2-5 (Use a comma to separate matrices as needed. Type exact answers, using radicals as needed. Do not label the matrices.)

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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Irthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the eigenvalues are
13 and -4.
Construct D using A₁
D=
=-
0 0
0 2₂ 0 =
0
13 and A₂ = A3 =
- 13 0 0
0-4 0
4
0
Thus, P=
w/ WIN WIN
Enter the matrices P and D below.
3
2
3
I want to solve this same solution
3
22|1
3
N/m
2
3
1/3 2/3 2/3
Solve this question below in the same way as the example
Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To
save time, the eigenvalues are - 13 and - 4.
orthogonally diagonalizes the given
-8-4 2
-4 -8 2
2 2-5
X
Save
(Use a comma to separate matrices as needed. Type exact answers, using radicals as needed. Do not label
the matrices.)
-8-4-2
-4 -8 -2
-2 -2 -5
Transcribed Image Text:View an example | All parts showing Irthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the eigenvalues are 13 and -4. Construct D using A₁ D= =- 0 0 0 2₂ 0 = 0 13 and A₂ = A3 = - 13 0 0 0-4 0 4 0 Thus, P= w/ WIN WIN Enter the matrices P and D below. 3 2 3 I want to solve this same solution 3 22|1 3 N/m 2 3 1/3 2/3 2/3 Solve this question below in the same way as the example Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the eigenvalues are - 13 and - 4. orthogonally diagonalizes the given -8-4 2 -4 -8 2 2 2-5 X Save (Use a comma to separate matrices as needed. Type exact answers, using radicals as needed. Do not label the matrices.) -8-4-2 -4 -8 -2 -2 -2 -5
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