Consider the vectors cos ( x + α ) and sin x in C [ − π , π ] . For what values of u will the two vectors be linearly dependent? Give a graphical interpretation of your answer.
Consider the vectors cos ( x + α ) and sin x in C [ − π , π ] . For what values of u will the two vectors be linearly dependent? Give a graphical interpretation of your answer.
Solution Summary: The author explains that the vectors are linearly independent when the determinant of A is not equal to zero.
Consider the vectors
cos
(
x
+
α
)
and
sin
x
in
C
[
−
π
,
π
]
. For what values of u will the two vectors be linearly dependent? Give a graphical interpretation of your answer.
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 (5th Edition)
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