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Exercise 2: Given: vị = 3 , V2 = , V3 = 2, v4 = 4, v5 = Look at the following sets: Si = {v1, v2}, S2 = {v3, V4}, S3 = {vı, v2, V3}, S4 = {v2, V4, V5}, S5 = {v1, V2, V3, V5}, S6 = {v2, V3, V4, V5} 1. Which of S1,..., S6 form bases to R3? 2. For the rest, find the dimension of span(S;)

Exercise 2: Given: vị = 3 , V2 = , V3 = 2, v4 = 4, v5 = Look at the following sets: Si = {v1, v2}, S2 = {v3, V4}, S3 = {vı, v2, V3}, S4 = {v2, V4, V5}, S5 = {v1, V2, V3, V5}, S6 = {v2, V3, V4, V5} 1. Which of S1,..., S6 form bases to R3? 2. For the rest, find the dimension of span(S;)

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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Kindly solve both parts correctly and handwritten
Exercise 2: Given: v₁ = ·()--0--0--0--0 3 , = 0,03 = 2 , = 4,05 = 1 S₁ = {V₁, V₂), S₂ = {V3, V4}, S3 = {V₁, V2, V3), S4 = (v2, 04, 05), S5 = {V₁, V2, U3, U5), S6 = {U2, U3, U4, V5} 1. Which of S₁,..., S6 form bases to R³? 2. For the rest, find the dimension of span(S₂) Exercise 3. In the vector space V - 2x2 define II JAG VI At 11 W JACVI At 41 Look at the following sets:
Transcribed Image Text:Exercise 2: Given: v₁ = ·()--0--0--0--0 3 , = 0,03 = 2 , = 4,05 = 1 S₁ = {V₁, V₂), S₂ = {V3, V4}, S3 = {V₁, V2, V3), S4 = (v2, 04, 05), S5 = {V₁, V2, U3, U5), S6 = {U2, U3, U4, V5} 1. Which of S₁,..., S6 form bases to R³? 2. For the rest, find the dimension of span(S₂) Exercise 3. In the vector space V - 2x2 define II JAG VI At 11 W JACVI At 41 Look at the following sets:
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