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.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.4: Orthogonal Diagonalization Of Symmetric Matrices
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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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