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be an orthonormal set in Rn. Verify the following
Chapter , Problem 3E(choose chapter or problem)
QUESTION:
Problem 3E
be an orthonormal set in Rn. Verify the following inequality, called Bessel’s inequality, which is true for each x in Rn:
Questions & Answers
QUESTION:
Problem 3E
be an orthonormal set in Rn. Verify the following inequality, called Bessel’s inequality, which is true for each x in Rn:
ANSWER:
Solution 3E
Step 1 of 2
It is stated that the set of vectors is orthonormal set in.
The magnitude of each vector is equals to 1 and dot product of each pair of vectors is equals to 0.
It can be expressed as,
Let be the orthogonal projection of onto the subspace spanned by.
Then