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(a) (0, 1), (2, 0)
(b) ,
(c) ,
(d) (0, 0), (0, 1)
Which of the sets in Exercise 1 are orthonormal with respect to the Euclidean inner product on ?
2.
Which of the following sets of vectors are orthogonal with respect to the Euclidean inner product on ?
3.
(a) ,
,
(b) , ,
(c) , (0, 0, 1)
(1, 0, 0),
(d)
,
Which of the sets in Exercise 3 are orthonormal with respect to the Euclidean inner product on ?
4.
Which of the following sets of polynomials are orthonormal with respect to the inner product on discussed in Example
5. 8 of Section 6.1?
(a) , ,
(b) 1, ,
