the set B=E[f る,L 2 ), L3 10 in M22 the subspace of Mez spanned by B. Since carly independent Cyou don't have to prove it),

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.1: Orthogonality In Rn
Problem 34EQ
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B-E[7,「は :
O Con sider the set
10
of
in M22.
Vectors
Let V be the subspace of Mez spanned by B. Since
B is linearly independent Cyou don't have to prove it),
B is
basis for
V.
For
to find
orthonormal basis
(a) Use Gram - Schmidt
on
V with respecet to the stondord inner product on Mez:
く 。
ag by
C1 da
C2 dz
Take the vectors in the given order in B
[-], [$]
(6) Suppose C is a matrix in V end
%3D
Find C.
Find [<]8'
where B is the orthonormal
basis from (a)
Transcribed Image Text:B-E[7,「は : O Con sider the set 10 of in M22. Vectors Let V be the subspace of Mez spanned by B. Since B is linearly independent Cyou don't have to prove it), B is basis for V. For to find orthonormal basis (a) Use Gram - Schmidt on V with respecet to the stondord inner product on Mez: く 。 ag by C1 da C2 dz Take the vectors in the given order in B [-], [$] (6) Suppose C is a matrix in V end %3D Find C. Find [<]8' where B is the orthonormal basis from (a)
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