A factorization A = PDP is not unique. For A = Use this information with D₁ = 20 06 14 -24-6 4 one factorization is P = to find a matrix P₁ such that A = P₁D₁P₁¹. 1 -2 -3 60 02 and p-1 3 1 -2 -1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 42RE
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A factorization A = PDP is not unique. For A =
Use this information with D₁
20
06
14
4
4
- 24 -6
to find a matrix P₁ such that A = P₁D₁P₁¹.
1
P₁ =
(Type an integer or simplified fraction for each matrix element.)
one factorization is P =
[-2-1] - [82])-²¹-[-2-1]
D=
and P
3
60
02
3
Transcribed Image Text:A factorization A = PDP is not unique. For A = Use this information with D₁ 20 06 14 4 4 - 24 -6 to find a matrix P₁ such that A = P₁D₁P₁¹. 1 P₁ = (Type an integer or simplified fraction for each matrix element.) one factorization is P = [-2-1] - [82])-²¹-[-2-1] D= and P 3 60 02 3
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