Suppose that A = a a 1 1 b 1 2 B = 300 000 0 00 and A and B are similar. (1) Calculate a and b; (2) Find a nonsingular (invertible) matrix P such that P-¹AP = B.
Suppose that A = a a 1 1 b 1 2 B = 300 000 0 00 and A and B are similar. (1) Calculate a and b; (2) Find a nonsingular (invertible) matrix P such that P-¹AP = B.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 34E
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Transcribed Image Text:1. Suppose that
A =
1 a
a 1 b
1
1
B
=
30
000
00
and A and B are similar.
(1) Calculate a and b;
(2) Find a nonsingular (invertible) matrix P such that P-¹AP = B.
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