Exam 10: Inner Product Spaces
Exam 1: Systems of Linear Equations57 Questions
Exam 2: Euclidean Space48 Questions
Exam 3: Matrices76 Questions
Exam 4: Subspaces60 Questions
Exam 5: Determinants48 Questions
Exam 6: Eigenvalues and Eigenvectors75 Questions
Exam 7: Vector Spaces45 Questions
Exam 8: Orthogonality75 Questions
Exam 9: Linear Transformations60 Questions
Exam 10: Inner Product Spaces45 Questions
Exam 11: Additional Topics and Applications75 Questions
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Find the Fourier coefficients for the function
without computing any integrals.

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If
and
are both inner products on a vector space V, then
is also an inner product on V.



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Let
,
, and let the inner product on
be given by
.
Use the fact that
is an orthonormal basis for S to find
.






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