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26) Let A be annxn matrix such that A2 = 0. Then what can we say about the matrix I+ A? A)I+ A is invertible, and (I+ A)-1 =1-A. C)I+A is invertible, and (I. A)-1 1. B) I+ A is invertible, and (I + A)-1-1+ A. D)I. A is not invertible.

26) Let A be annxn matrix such that A2 = 0. Then what can we say about the matrix I+ A? A)I+ A is invertible, and (I+ A)-1 =1-A. C)I+A is invertible, and (I. A)-1 1. B) I+ A is invertible, and (I + A)-1-1+ A. D)I. A is not invertible.

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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26) Let A be annxn matrix such that A2 = 0. Then what can we say about the matrix I + A? A)I+ A is invertible, and (I + A)-1 =1-A. C)I+A is invertible, and (I + A)-1 - I. B) I+ A is invertible, and (I + A)-1=I+ A. D)I+ A is not invertible.
Transcribed Image Text:26) Let A be annxn matrix such that A2 = 0. Then what can we say about the matrix I + A? A)I+ A is invertible, and (I + A)-1 =1-A. C)I+A is invertible, and (I + A)-1 - I. B) I+ A is invertible, and (I + A)-1=I+ A. D)I+ A is not invertible.
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