Question
1. Let W be the space spanned by f = sin x and g = cos x. a. Show that for any value of θ,
1. Let W be the space spanned by f = sin x and g = cos x.
a. Show that for any value of θ, f1 = sin(x+θ) and g1 =cos(x+θ) are vectors in W
b. Show that f1 and g1 form a basis for W.
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Elementary Linear Algebra with Applications
Authors: Howard Anton, Chris Rorres
9th edition
471669598, 978-0471669593
