Let V be the vector space of functions spanned by NT {bị ',N E Z. 2 B : 3 sin x + 4 cos x, b2 = 8 sin x + 9 cos x} where x + C = {c1 = sin , c2 = cos x} where x # n E Z is also a basis for V. Find the change 2 of coordinates matrix P C-B Ex: 7 P CEB The coordinates of a function f(x) relative to the basis B are [f(x)]B = Find the coordinates of f(x) relative to C and find f(x). Ex: 7 [f(x)]c f(x) = Ex: 7 e sin x + * COs x
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![Let V be the vector space of functions spanned by
B = {b1 = 3 sin x + 4 cos c, b2
= 8 sin x + 9 cos x} where x +
-,n E Z.
2
C = {c1
sin x, c2 = Cos x} where x
n E Z is also a basis for V. Find the change
2
of coordinates matrix P.
CEB
Ex: 7
P =
CEB
The coordinates of a function f(æ) relative to the basis B are [f(x)]B
Find the
6.
coordinates of f(x) relative to C and find f(x).
Ex: 7
[f(x)]c
f(x) = Ex: 7 : sin x +
O COS x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ad0bce7-1cf3-497a-a99e-802afa935450%2F190ac7cd-0ddb-46e4-b726-831e9824f25d%2Fv1d7gzw_processed.png&w=3840&q=75)
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