In Problems 13-19 , determine whether the given vector functions are linearly dependent ( L D ) or linearly independent ( L I ) on the interval ( − ∞ , ∞ ) . e 2 t [ 1 0 5 ] , e 2 t [ 1 1 − 1 ] , e 3 t [ 0 1 0 ]
In Problems 13-19 , determine whether the given vector functions are linearly dependent ( L D ) or linearly independent ( L I ) on the interval ( − ∞ , ∞ ) . e 2 t [ 1 0 5 ] , e 2 t [ 1 1 − 1 ] , e 3 t [ 0 1 0 ]
Solution Summary: The author explains that the given vector function is linearly independent on the interval (-infty,
In Problems 13-19, determine whether the given vector functions are linearly dependent
(
L
D
)
or linearly independent
(
L
I
)
on the interval
(
−
∞
,
∞
)
.
e
2
t
[
1
0
5
]
,
e
2
t
[
1
1
−
1
]
,
e
3
t
[
0
1
0
]
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.
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