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[a b] [add] c A² − (a + d)A + (ad – bc)I = 0 Show that the matrix A = satisfies the equation

[a b] [add] c A² − (a + d)A + (ad – bc)I = 0 Show that the matrix A = satisfies the equation

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Show that the matrix A = a [cd]. с - satisfies the equation - A² (a + d) A + (ad – bc)I = 0
Transcribed Image Text:Show that the matrix A = a [cd]. с - satisfies the equation - A² (a + d) A + (ad – bc)I = 0
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