In Exercises 1 and 2, find the vector x determined by the given coordinate vector [x] B and the given basis B . Illustrate your answer with a figure, as in me solution of Practice Problem 2. 2. B = { [ − 2 1 ] , [ 3 1 ] } [ x ] B = [ − 1 3 ]
In Exercises 1 and 2, find the vector x determined by the given coordinate vector [x] B and the given basis B . Illustrate your answer with a figure, as in me solution of Practice Problem 2. 2. B = { [ − 2 1 ] , [ 3 1 ] } [ x ] B = [ − 1 3 ]
Solution Summary: The author explains the definition of the coordinate vector of x as shown below.
In Exercises 1 and 2, find the vectorx determined by the given coordinate vector [x]B and the given basis B. Illustrate your answer with a figure, as in me solution of Practice Problem 2.
2.B =
{
[
−
2
1
]
,
[
3
1
]
}
[x]B =
[
−
1
3
]
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 Graphical Approach to College Algebra (6th Edition)
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