2. Consider R4 with the usual dot product as inner product. (a) Use the Gram-Schmidt procedure to construct an orthonormal basis for the subspace W of R4 spanned by the vectors {(-1,0, 1, 2), (0, 1, 0, 1)}. (b) What is the distance from (2, 1, 1, 0) to the nearest point in W?
2. Consider R4 with the usual dot product as inner product. (a) Use the Gram-Schmidt procedure to construct an orthonormal basis for the subspace W of R4 spanned by the vectors {(-1,0, 1, 2), (0, 1, 0, 1)}. (b) What is the distance from (2, 1, 1, 0) to the nearest point in W?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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