Repeat Exercise 20. for the set S given in Exercise 15 . 2 0 . Let S be the set given in Exercise 14. For each vector given below, determine whether the vector is in S p ( S ) . Express those vectors that are in S p ( S ) as a linear combination of v and w . a ) [ 1 1 1 ] b ) [ 1 1 − 1 ] c ) [ 1 2 0 ] d ) [ 2 3 1 ] e ) [ − 1 2 4 ] f ) [ 1 1 3 ] 1 5 . S = { v , x } v = [ 1 2 0 ] , x = [ 1 1 − 1 ]
Repeat Exercise 20. for the set S given in Exercise 15 . 2 0 . Let S be the set given in Exercise 14. For each vector given below, determine whether the vector is in S p ( S ) . Express those vectors that are in S p ( S ) as a linear combination of v and w . a ) [ 1 1 1 ] b ) [ 1 1 − 1 ] c ) [ 1 2 0 ] d ) [ 2 3 1 ] e ) [ − 1 2 4 ] f ) [ 1 1 3 ] 1 5 . S = { v , x } v = [ 1 2 0 ] , x = [ 1 1 − 1 ]
Solution Summary: The author explains that if left[c1 1 -1end
Repeat Exercise
20.
for the set
S
given in Exercise
15
.
2
0
.
Let
S
be the set given in Exercise 14. For each vector given below, determine whether the vector is in
S
p
(
S
)
. Express those vectors that are in
S
p
(
S
)
as a linear combination of
v
and
w
.
a
)
[
1
1
1
]
b
)
[
1
1
−
1
]
c
)
[
1
2
0
]
d
)
[
2
3
1
]
e
)
[
−
1
2
4
]
f
)
[
1
1
3
]
1
5
.
S
=
{
v
,
x
}
v
=
[
1
2
0
]
,
x
=
[
1
1
−
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.
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