2) (a) Apoply Grom -Schmidt to the barls B=fxgl+x]} for %3D R to And or thonormal basis the inner product an w.r.t. くっ>SRe Fox) gC) dx on P. Take the vector in B in the given order, (b) Check that the basis computed in Ca) reolly is an you orthonormal basis ( sho that the vectors are or thoganal and are unit vectors)
2) (a) Apoply Grom -Schmidt to the barls B=fxgl+x]} for %3D R to And or thonormal basis the inner product an w.r.t. くっ>SRe Fox) gC) dx on P. Take the vector in B in the given order, (b) Check that the basis computed in Ca) reolly is an you orthonormal basis ( sho that the vectors are or thoganal and are unit vectors)
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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![(2)
(a) Apply Gram - Schmidt to the basls
B =
{xg 1+x]} for
R to And
or thonormal
W. r.t.
the inner product
an
basis
<f, g>=S
Fex) gCx) dx
%3D
on P. Take the
vector in B in the given order,
(b) Check that the basis you computed in ca) really is
an
orthonormal basis ( showe that the vectors
are orthoginal
and are
unit vectors)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4679ea6e-3a99-4a3a-95dd-90e63fe9b9f4%2Fc87bb56a-39d6-4db8-a8d2-4e6e40748665%2F9469swv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(2)
(a) Apply Gram - Schmidt to the basls
B =
{xg 1+x]} for
R to And
or thonormal
W. r.t.
the inner product
an
basis
<f, g>=S
Fex) gCx) dx
%3D
on P. Take the
vector in B in the given order,
(b) Check that the basis you computed in ca) really is
an
orthonormal basis ( showe that the vectors
are orthoginal
and are
unit vectors)
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