0f V=B,Se3 1,2x²+X+2, – x²+x), is abasis for B.deteomine whetlexb Let T: R ° be defined asTI(x,y,Z)]- (X+Y-2,2xY,X12+1)Is. this toansformation alinear one2cld Detesmine whetkervs a bvector space:a,b,CERS is a06 not, if the operatione ofasdition ad multiplication areSebined s below.b aelatd bteCtfA B =koaKbLkC

a) Dimension of P2 is 3. b) T is linear transform if, T(x+y)= T(x)+T(y)

f V=PB, deteimine whetlex Se31,2x+X+2, – x²+x], is a basis for B %3D Dlet T: R>N° be defined as T(x,y,2)- (x+y-2,2xY,x+2+1) Is. this toans formation a linear one2 a b] vector space Clz Deteimine whether vs 2. :a,b,cER is a 08 not, it the operatione addition d multiplication are sebined s below bode atd bte Ctf A @B = ka LkC Kb 1

f V=PB, deteimine whetlex Se31,2x+X+2, – x²+x], is a basis for B %3D Dlet T: R>N° be defined as T(x,y,2)- (x+y-2,2xY,x+2+1) Is. this toans formation a linear one2 a b] vector space Clz Deteimine whether vs 2. :a,b,cER is a 08 not, it the operatione addition d multiplication are sebined s below bode atd bte Ctf A @B = ka LkC Kb 1

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.

Question

100%

0f V=B,
Se3 1,2x²+X+2, – x²+x), is a
basis for B.
deteomine whetlex
b Let T: R ° be defined as
TI(x,y,Z)]- (X+Y-2,2xY,X12+1)
Is. this toansformation a
linear one2
cld Detesmine whetkervs a b
vector space
:a,b,CERS is a
06 not, if the operatione of
asdition ad multiplication are
Sebined s below.
b ae
latd bte
Ctf
A B =
koa
Kb
LkC

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