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Showing posts with label
Vector Space Questions
.
Show all posts
Showing posts with label
Vector Space Questions
.
Show all posts
Vector Space Question-1
Labels:
Linear Algebra
,
Vector Space Questions
Question:-
Express (1,2,3) as a linear combination of (1,1,1),(2,-1,1) and (1,-2,5) in V
3
(R).
Solution:
-
Let a
1,
a
2
,a
3
∊
R such that
(1,2,3)=a
1
(1,1,1)+a
2
(2,-1,1)+a
3
(1,-2,5)……………………(a)
(1,2,3)=(a
1,
a
1,
a
1
)+(2a
2
,-a
2
,a
2
)+(a
3
,-2a
3
,5a
3
)
(2)
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