Q-3: [1 -1 a) Let A = 0 12 3 1 2 -1. Find the matrix B such that (B+ I,)¯1 = A. b) Let A and B be n xn matrices. Determine whether JA + AB| = |A + BA|. c) Let X and Y be linearly independent vectors in R". Determine whetherrX and rY are linearly independent for any nonzero scalar r.
Q-3: [1 -1 a) Let A = 0 12 3 1 2 -1. Find the matrix B such that (B+ I,)¯1 = A. b) Let A and B be n xn matrices. Determine whether JA + AB| = |A + BA|. c) Let X and Y be linearly independent vectors in R". Determine whetherrX and rY are linearly independent for any nonzero scalar r.
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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