V andvecterstienSo, (♡.) isvector Spaceabelian group. So, v s also amultiplications.anover62(6):Let T: Rz R bea lineas troansformationdefined by T(x)= (x-g,x,x+24). let B, B beordered basis te R anelforbrusis forB,iB" beordereddefined byBy> § (l,op), (0,1,0), (6,0,0}the melation [7Jx = G" [T] P wheretrans ition máctrices from Bi to Bíthe relati onNerifyPand 6 arecnd B to B,'determined.Solution:-respectively andto be0re2021.04.13 12:36

Solution: The linear transformation is Tx,y=x-y,x,x+2y

62(6):Let T: R> R be a a lineas, transfe defined by T(x= (x-y,x,x+24). let "B, B be l ordered basis te R ane basis for R defined by B,1 B," be ordered By = {(1,). (,3)] B Ci, op), (0,1,6), (6,0,03 the meloution [ī - G" [T) P. where B2 Nerify Paid 6 are cud B, to B, respectively nd be determined. the relation transition mactrices from Bi to B to be

62(6):Let T: R> R be a a lineas, transfe defined by T(x= (x-y,x,x+24). let "B, B be l ordered basis te R ane basis for R defined by B,1 B," be ordered By = {(1,). (,3)] B Ci, op), (0,1,6), (6,0,03 the meloution [ī - G" [T) P. where B2 Nerify Paid 6 are cud B, to B, respectively nd be determined. the relation transition mactrices from Bi to B to be

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

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

Question

100%

V and
vecters
tien
So, (♡.) is
vector Space
abelian group. So, v s also a
multiplications.
an
over
62(6):Let T: Rz R be
a lineas tro
ansformation
defined by T(x)= (x-g,x,x+24). let B, B be
ordered basis te R anel
for
brusis for
B,iB" be
ordered
defined by
By> § (l,op), (0,1,0), (6,0,0}
the melation [7Jx = G" [T] P where
trans ition máctrices from Bi to Bí
the relati on
Nerify
Pand 6 are
cnd B to B,'
determined.
Solution:-
respectively and
to be
0re
2021.04.13 12:36

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