{61,G]}IRISTHE STAN DARD BASISIN8.ecoNDS IN IR.LET E = {5, , 5.}E.], = (]BASI Sb2{ BEASECOND5[5,E],ニANDWHERE8,[v], = [i]しETV BEA VECTO RIN RSUCK THATa) FIND THEMATRIXOF TRANSITIONFROM8 TO B(COORDINATE MATRIXOF ū RE LA TIUETOBASIS 13)

First we calculate the change of basis matrix then calculate [V]B.

IR { 6], G)} IS THE STAN DARD BASIS BE A SECOND BASI S IN B= { 6,, bz LET ノ (5,], = (:] AND WHERE 8, [v], = [] しET V BE VECTOR IN R SUCH A THAT a) FIND THE MATRIX OF TRANSITION FROM 8 TO (COORDINATE MATRIX OF V RELA TIUE TO b) FIND BASIS 13)

IR { 6], G)} IS THE STAN DARD BASIS BE A SECOND BASI S IN B= { 6,, bz LET ノ (5,], = (:] AND WHERE 8, [v], = [] しET V BE VECTOR IN R SUCH A THAT a) FIND THE MATRIX OF TRANSITION FROM 8 TO (COORDINATE MATRIX OF V RELA TIUE TO b) FIND BASIS 13)

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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Question

{61,G]}
IR
IS
THE STAN DARD BASIS
IN
8.
ecoND
S IN IR.
LET E = {5, , 5.}
E.], = (]
BASI S
b2{ BE
A
SECOND
5
[5,
E],
ニ
AND
WHERE
8,
[v], = [i]
しET
V BE
A VECTO R
IN R
SUCK THAT
a) FIND THE
MATRIX
OF TRANSITION
FROM
8 TO B
(COORDINATE MATRIX
OF ū RE LA TIUE
TO
BASIS 13)

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