3-20. Let D and P be the matrices P = 1 1 -1 0 3 1 2 -2 and D = 0 00 −1 0 02 (a) Find P-1. (b) If A = 7PDP-¹, find A-¹. Hint: Use the definition of A rather than computing A and then its inverse.

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Chapter1: Functions And Models
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3-20. Let D and P be the matrices
P =
1
1
1
−1 1
0 2 and
3 -2
D=
1
0
0
00
-1 0
02
(a) Find P-1,
(b) If A = 7PDP-¹, find A-¹. Hint: Use the definition of A rather than computing A and
then its inverse.
Transcribed Image Text:3-20. Let D and P be the matrices P = 1 1 1 −1 1 0 2 and 3 -2 D= 1 0 0 00 -1 0 02 (a) Find P-1, (b) If A = 7PDP-¹, find A-¹. Hint: Use the definition of A rather than computing A and then its inverse.
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