Let B = { b 1 , b 2 , b 3 } and D = { d 1 , d 2 } be bases for vector spaces V and W , respectively. Let T : V → W be a linear transformation with the property that T ( b 1 ) = 3 d 1 − 5 d 2 , T ( b 2 ) = − d 1 + 6 d 2 , T ( b 3 ) = 4 d 2 Find the matrix for T relative to B and D .
Let B = { b 1 , b 2 , b 3 } and D = { d 1 , d 2 } be bases for vector spaces V and W , respectively. Let T : V → W be a linear transformation with the property that T ( b 1 ) = 3 d 1 − 5 d 2 , T ( b 2 ) = − d 1 + 6 d 2 , T ( b 3 ) = 4 d 2 Find the matrix for T relative to B and D .
Let B =
{
b
1
,
b
2
,
b
3
}
and D =
{
d
1
,
d
2
}
be bases for vector spaces V and W, respectively. Let T : V → W be a linear transformation with the property that
T(b1) = 3d1 − 5d2, T (b2) = −d1 + 6d2, T (b3) = 4d2
Find the matrix for T relative to B and D.
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.
College Algebra with Modeling & Visualization (6th Edition)
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