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Find Im(A) for A = O Im(A) span = Im(A) = span Im(A) = span Im(A) = span 1 2 3 2 3 5 3 347 3 . Then, determine dim ker(A) by using the Rank-Nullity Theorem. 2 3 0.0.0 2 3 4 5 and dim ker(A) = 0 (0.0.0) 3 5 3 4 7 3 (0-0).0)) 2 4 3 5 7 2 (0).0.0) 2 3 4 3 5 3 and dim ker(A) = 1 and dim ker(A) = 0 and dim ker(A) = 1

Find Im(A) for A = O Im(A) span = Im(A) = span Im(A) = span Im(A) = span 1 2 3 2 3 5 3 347 3 . Then, determine dim ker(A) by using the Rank-Nullity Theorem. 2 3 0.0.0 2 3 4 5 and dim ker(A) = 0 (0.0.0) 3 5 3 4 7 3 (0-0).0)) 2 4 3 5 7 2 (0).0.0) 2 3 4 3 5 3 and dim ker(A) = 1 and dim ker(A) = 0 and dim ker(A) = 1

Advanced Engineering Mathematics
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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Find Im(A) for A = = Im(A) = Im(A) = span Im(A) = span Im(A) = span = span 1 2 3 235 3 4 . Then, determine dim ker(A) by using the Rank-Nullity Theorem. 7 2 3 (0)·()·()) 3 3 4 7 5 and dim ker(A) = 0 3 (O).).)) 2 3 3 4 5 and dim ker(A) = 1 2 3 ()··() 3 4 5 7 2 3 (1)·()·()) 3 5 7 and dim ker(A) = 0 and dim ker(A) = 1
Transcribed Image Text:Find Im(A) for A = = Im(A) = Im(A) = span Im(A) = span Im(A) = span = span 1 2 3 235 3 4 . Then, determine dim ker(A) by using the Rank-Nullity Theorem. 7 2 3 (0)·()·()) 3 3 4 7 5 and dim ker(A) = 0 3 (O).).)) 2 3 3 4 5 and dim ker(A) = 1 2 3 ()··() 3 4 5 7 2 3 (1)·()·()) 3 5 7 and dim ker(A) = 0 and dim ker(A) = 1
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