Let S be the vectors space consisting of the set of all linear combinations of the function f 1 ( x ) = e x , f 2 ( x ) = e − x , f 3 ( x ) = sinh ( x ) . Determine basis for S , and hence, find dim [ [ S ] ]
Let S be the vectors space consisting of the set of all linear combinations of the function f 1 ( x ) = e x , f 2 ( x ) = e − x , f 3 ( x ) = sinh ( x ) . Determine basis for S , and hence, find dim [ [ S ] ]
Solution Summary: The author explains that the set S is the vector space of all linear combinations of the given functions.
Let
S
be the vectors space consisting of the set of all linear combinations of the function
f
1
(
x
)
=
e
x
,
f
2
(
x
)
=
e
−
x
,
f
3
(
x
)
=
sinh
(
x
)
. Determine basis for
S
, and hence, find
dim
[
[
S
]
]
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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