Consider some linearly independent vectors v → 1 , v → 2 , ... , v → m in ℝ n and a vector v → 1 in ℝ n that is not contained inthe span of v → 1 , v → 2 , ... , v → m . Are the vectors v → 1 , v → 2 , ... , v → m , v → 1 necessarily linearly independent? Justify youranswer.
Consider some linearly independent vectors v → 1 , v → 2 , ... , v → m in ℝ n and a vector v → 1 in ℝ n that is not contained inthe span of v → 1 , v → 2 , ... , v → m . Are the vectors v → 1 , v → 2 , ... , v → m , v → 1 necessarily linearly independent? Justify youranswer.
Solution Summary: The author explains that the linearly independent vectors v_1,.v.
Consider some linearly independent vectors
v
→
1
,
v
→
2
,
...
,
v
→
m
in
ℝ
n
and a vector
v
→
1
in
ℝ
n
that is not contained inthe span of
v
→
1
,
v
→
2
,
...
,
v
→
m
. Are the vectors
v
→
1
,
v
→
2
,
...
,
v
→
m
,
v
→
1
necessarily linearly independent? Justify youranswer.
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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