[1 -1 2 12 Let A : -1. Find the matrix B such that (B + I3)-1 = A.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:Q-3:
-1
1
a) Let A = |0
-1
Find the matrix B such that (B + I3)-1 = A.
3
b) Let A and B ben xn matrices. Determine whether A + AB| = |A+ BA|.
c) Let X and Y be linearly independent vectors in R". Determine whether rX
and rY are linearly independent for any nonzero scalar r.
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