The set of column vectors Vª ||20, 21, 73 € C } with the following operations: g + -1 and (a(u9 – 1) + 1 ) a(u, + 5) – 5 | a(4g – 4) + 4/ is a vector space. Problem In V consider the basis B = {h,6,&} where 5. 8. Task Write the augmented matrix of the system of linear equations that has to be solved to compute the coordinates of vector tổ =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
Problem 47EQ
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Hi. Can you solve this with explanation? I am beginner in algebra . 

The set of column vectors V
| Z0, I1
with the following operations:
1
u + v, +5
4.
and
a(40 – 1) +1
a(u, + 5) – 5
a(u2 - 4) + 4/
is a vector space.
Problem
In V consider the basis
B = {h,6,}
where
1
8.
6
4
Task
Write the augmented matrix of the system of linear equations that has to be solved to compute the coordinates of vector
1
-7
Transcribed Image Text:The set of column vectors V | Z0, I1 with the following operations: 1 u + v, +5 4. and a(40 – 1) +1 a(u, + 5) – 5 a(u2 - 4) + 4/ is a vector space. Problem In V consider the basis B = {h,6,} where 1 8. 6 4 Task Write the augmented matrix of the system of linear equations that has to be solved to compute the coordinates of vector 1 -7
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