1 100 D=0-2 0 0 0 -2 The matrix A- 1 -1 -1 has eigenvalues -2 and 1. Find an orthogonal matrix P -200 oto and a diagonal matrix D such that A = PDPT. 1. 2. (-Y -Y V P=|- yn (-V -Y Yq P= -Va ya 00-1 3. 4.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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-1
1
-1
-1
-1
P =
10 0
D=
The matrix A =
1
-1
has eigenvalues -2 and 1. Find an orthogonal matrix P
-2 0 0
O-2 0
O O -2
D =
-1
-1
-1
and a diagonal matrix D such that A = PDP".
1.
2.
(- - V
D=0-2 o
LO0.2
D=
3.
4.
- 0-
Transcribed Image Text:-1 1 -1 -1 -1 P = 10 0 D= The matrix A = 1 -1 has eigenvalues -2 and 1. Find an orthogonal matrix P -2 0 0 O-2 0 O O -2 D = -1 -1 -1 and a diagonal matrix D such that A = PDP". 1. 2. (- - V D=0-2 o LO0.2 D= 3. 4. - 0-
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