If A is square and invertible, the warning against splitting (ATA)-¹ does not apply. It is true that AA-¹(AT)-1AT = 1. When A is invertible, why is P = I? What is the error e?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 50E
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If A is square and invertible, the warning against splitting (ATA)-¹ does not apply.
It is true that AA-¹(AT)-1AT = 1. When A is invertible, why is P = I? What is
the error e?
Transcribed Image Text:If A is square and invertible, the warning against splitting (ATA)-¹ does not apply. It is true that AA-¹(AT)-1AT = 1. When A is invertible, why is P = I? What is the error e?
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