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 18. x → = [ 5 4 3 2 ] ; v → 1 = [ 1 1 0 0 ] , v → 2 = [ 0 1 1 0 ] , v → 3 = [ 0 − 1 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 18. x → = [ 5 4 3 2 ] ; v → 1 = [ 1 1 0 0 ] , v → 2 = [ 0 1 1 0 ] , v → 3 = [ 0 − 1 0 1 ]
Solution Summary: The author explains that the given vectors are not in the span of left,v_2, 
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
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.
[2 pts] 1. Let A =
[.
1 -1 0
-343
and B =
05
5 -7
304
Compute (7A - 3B) - 4(2A - B).
20
2. Let A =
= [
-2 0
1
3
]
and B =
2
3
-1 2
For each of the following, calculate the product or indicate why it is undefined:
(a) AB
(b) BA
Answer the number questions with the following answers
+/- 2 sqrt(2)
+/- i sqrt(6)
(-3 +/-3 i sqrt(3))/4
+/-1
+/- sqrt(6)
+/- 2/3 sqrt(3)
4
-3 +/- 3 i sqrt(3)
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