Let(1 0= lu(1 0 0(0 1m2 =0 11 2m3 =m4 =0 03.Set M = span(mį, m2, m3,m4).Let(1 00 1(0 10 0(0n3 =(1 0(1 33 5Set N = span(n1, n2, n3, n4).a) Compute dim(M) and dim(N).b) Compute dim(M + N) and dim(MN N).

Answered: Image /qna-images/answer/21e970de-833d-4f24-bcd7-919439a91c54.jpg

Let (1 0 1 0 (G : :). m = (C : :) m. = (C : ). m. = (: ) (0_ 0 o 0 1 1 (1 2 m1 = m2 = m3 = m4 = 0 1 2 3 Set M = span(mı, m2, m3, ms). Let - (; : :)-m- - (C ¿ ).-m - (: : :)-n- - (; : )- (1 3 5 0 1 0 n2 = 0 0 n3 = (1 0 n4 = 3 5 Set N = span(nį,n2, n3, N4). a) Compute dim(M) and dim(N). b) Compute dim(M + N) and dim(MO N).

Let (1 0 1 0 (G : :). m = (C : :) m. = (C : ). m. = (: ) (0_ 0 o 0 1 1 (1 2 m1 = m2 = m3 = m4 = 0 1 2 3 Set M = span(mı, m2, m3, ms). Let - (; : :)-m- - (C ¿ ).-m - (: : :)-n- - (; : )- (1 3 5 0 1 0 n2 = 0 0 n3 = (1 0 n4 = 3 5 Set N = span(nį,n2, n3, N4). a) Compute dim(M) and dim(N). b) Compute dim(M + N) and dim(MO N).

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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