If an n × n matrix A satisfies A? – 6A + 5In = 0, then O is (1/5)(6In – A). O is (1/5)(A – 6In). O does not exist.

Algebra and Trigonometry (6th Edition)
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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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If A is satisfied as A2 - 6A + 5In = 0, what is A-1

If an n x n matrix A satisfies A? – 6A + 5I, = 0, then A-1
O is (1/5)(61, - ).
O is (1/5)(A – 6Im).
O does not exist.
O may exist only if n > 6.
O exists, but there is not enough information to determine it.
exists only ifn < 6.
Transcribed Image Text:If an n x n matrix A satisfies A? – 6A + 5I, = 0, then A-1 O is (1/5)(61, - ). O is (1/5)(A – 6Im). O does not exist. O may exist only if n > 6. O exists, but there is not enough information to determine it. exists only ifn < 6.
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