Given the bases B={u , U2} and B' = {u'1, u'2} for R2, whereU2and-ן 'uu'2The transition mat rix PB-B'from B to B' is:O A. 11О в.[ 1 10-1-1-111-1OD.-1Save Al О В. 1 10 -1-1-1OD.-1-1O E.[1 -1SaB.

Transition matix is using for change of basis. Here we are changing basis B to B'.

Answered: Given the bases B={u , U2} and B' =…

Given the bases B={u , U2} and B' = {u'1, u'2} for R2, where U2 and |=ן 'u u'2 The transition matrix Pg-B from B to B' is: O A.[ 1 1 O B.1 1 -1 -1 1 OD. 1 -1 -1

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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Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

Question

Given the bases B={u , U2} and B' = {u'1, u'2} for R2, where
U2
and
-ן 'u
u'2
The transition mat rix PB-B'
from B to B' is:
O A. 1
1
О в.[ 1 1
0-1
-1
-1
1
1
-1
OD.
-1
Save Al

О В. 1 1
0 -1
-1
-1
OD.
-1
-1
O E.[1 -1
Sa
B.

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