-1-日 5 Let S be the subspace of R° spanned by the vectors and 2 2 . Find the matrix P for the orthogonal projection onto S. (If the entries of your matrix do not come out as whole numbers, round them to 4 decimal places.)

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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1
5.
Let S be the subspace of R° spanned by the vectors
1
and
2
2
4
. Find the matrix P for the orthogonal projection onto S.
(If the entries of your matrix do not come out as whole numbers, round
them to 4 decimal places.)
Transcribed Image Text:1 5. Let S be the subspace of R° spanned by the vectors 1 and 2 2 4 . Find the matrix P for the orthogonal projection onto S. (If the entries of your matrix do not come out as whole numbers, round them to 4 decimal places.)
Let V
[2, 1, 8] and U = [3, 2, 9]. Find a scalar c such that
V – CU is orthogonal to U. Give an exact answer, not a decimal
approximation.
|
с —
Transcribed Image Text:Let V [2, 1, 8] and U = [3, 2, 9]. Find a scalar c such that V – CU is orthogonal to U. Give an exact answer, not a decimal approximation. | с —
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