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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
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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Let (1 0 = lu (1 0 0 (0 1 m2 = 0 1 1 2 m3 = m4 = 0 0 3. Set M = span(mį, m2, m3,m4). Let (1 0 0 1 (0 1 0 0 (0 n3 = (1 0 (1 3 3 5 Set N = span(n1, n2, n3, n4). a) Compute dim(M) and dim(N). b) Compute dim(M + N) and dim(MN N).
Transcribed Image Text:Let (1 0 = lu (1 0 0 (0 1 m2 = 0 1 1 2 m3 = m4 = 0 0 3. Set M = span(mį, m2, m3,m4). Let (1 0 0 1 (0 1 0 0 (0 n3 = (1 0 (1 3 3 5 Set N = span(n1, n2, n3, n4). a) Compute dim(M) and dim(N). b) Compute dim(M + N) and dim(MN N).
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