In Exercises 1 through 18, determine whether the vector x → is in the span V of the vectors v → 1 , ... , v → m (proceed “by inspection” if possible, and use the reduced row-echelon form if necessary). If x → is in V, find the coordinates of x → with respect to the basis = ( v → 1 , ... , v → m ) of V, and write the coordinate vector 13. x → = [ 1 1 1 ] ; v → 1 = [ 1 2 3 ] , v → 2 = [ 0 1 2 ] , v → 3 = [ 0 0 1 ]
In Exercises 1 through 18, determine whether the vector x → is in the span V of the vectors v → 1 , ... , v → m (proceed “by inspection” if possible, and use the reduced row-echelon form if necessary). If x → is in V, find the coordinates of x → with respect to the basis = ( v → 1 , ... , v → m ) of V, and write the coordinate vector 13. x → = [ 1 1 1 ] ; v → 1 = [ 1 2 3 ] , v → 2 = [ 0 1 2 ] , v → 3 = [ 0 0 1 ]
Solution Summary: The author explains how to find the coordinates of stackrelto x with respect to the basis.
In Exercises 1 through 18, determine whether the vector
x
→
is in the span V of the vectors
v
→
1
,
...
,
v
→
m
(proceed “by inspection” if possible, and use the reduced row-echelon form if necessary). If
x
→
is in V, find the coordinates of
x
→
with respect to the basis
=
(
v
→
1
,
...
,
v
→
m
)
of V, and write the coordinate vector
13.
x
→
=
[
1
1
1
]
;
v
→
1
=
[
1
2
3
]
,
v
→
2
=
[
0
1
2
]
,
v
→
3
=
[
0
0
1
]
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.
A research study in the year 2009 found that there were 2760 coyotes
in a given region. The coyote population declined at a rate of 5.8%
each year.
How many fewer coyotes were there in 2024 than in 2015?
Explain in at least one sentence how you solved the problem. Show
your work. Round your answer to the nearest whole number.
Answer the following questions related to the following matrix
A =
3
³).
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