Given the functions 2x and | x | , show that (a) these two vectors are linearly Independent in C [ − 1 , 1 ] . (b)the vectors are linearly dependent in C [ 0 , 1 ] .
Given the functions 2x and | x | , show that (a) these two vectors are linearly Independent in C [ − 1 , 1 ] . (b)the vectors are linearly dependent in C [ 0 , 1 ] .
Solution Summary: The author explains how to prove that 2x andx's arelinearly independent and h(x)=0.
Given the functions 2x and
|
x
|
, show that (a) these two vectors are linearly Independent in
C
[
−
1
,
1
]
. (b)the vectors are linearly dependent in
C
[
0
,
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.
Algebra and Trigonometry: Structure and Method, Book 2
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