PROBLEMS For Problems 17-26, find the change-of-basis matrix P C ← B from the given ordered basis B to the given ordered basis C of the vector space V . V = ℝ 2 ; B = { ( 9 , 2 ) , ( 4 , − 3 ) } ; C = { ( 2 , 1 ) , ( − 3 , 1 ) } .
PROBLEMS For Problems 17-26, find the change-of-basis matrix P C ← B from the given ordered basis B to the given ordered basis C of the vector space V . V = ℝ 2 ; B = { ( 9 , 2 ) , ( 4 , − 3 ) } ; C = { ( 2 , 1 ) , ( − 3 , 1 ) } .
For Problems 17-26, find the change-of-basis matrix
P
C
←
B
from the given ordered basis
B
to the given ordered basis
C
of the vector space
V
.
V
=
ℝ
2
;
B
=
{
(
9
,
2
)
,
(
4
,
−
3
)
}
;
C
=
{
(
2
,
1
)
,
(
−
3
,
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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