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The set of column vectors R I2 |21, 12, T3 E IR Is is a vector space with the standard operations. Let S = {51,52, 53, ša} where 30 17 55 šo = | 15 ,31= 4,53 = -30 33 19 62 {i,,72} where and T = 10 to = -8 11 Identify which statement below is correct.

The set of column vectors R I2 |21, 12, T3 E IR Is is a vector space with the standard operations. Let S = {51,52, 53, ša} where 30 17 55 šo = | 15 ,31= 4,53 = -30 33 19 62 {i,,72} where and T = 10 to = -8 11 Identify which statement below is correct.

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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Hi. Can you solve this with explanation? I am beginner in algebra . 

The set of column vectors R : | 1, 12, T3 E IR Is is a vector space with the standard operations. Let S = {51,52, 53, 54} where -30 17 55 šo = 15 4 -30 -33 19 -8 62 and T = {i1,72} where 10 io = 4, = -5 8 11 Identify which statement below is correct. 1. (S) = (T) 2. (S) + (T) and (S) C (T) and (T) \ (S) # 0 3. (S) + (T) and (S) \ (T) # 0 and (T) C (S) 4. (S) + (T) and (S) \ (T) # 0 and (T) \ (S) + 0
Transcribed Image Text:The set of column vectors R : | 1, 12, T3 E IR Is is a vector space with the standard operations. Let S = {51,52, 53, 54} where -30 17 55 šo = 15 4 -30 -33 19 -8 62 and T = {i1,72} where 10 io = 4, = -5 8 11 Identify which statement below is correct. 1. (S) = (T) 2. (S) + (T) and (S) C (T) and (T) \ (S) # 0 3. (S) + (T) and (S) \ (T) # 0 and (T) C (S) 4. (S) + (T) and (S) \ (T) # 0 and (T) \ (S) + 0
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