Determine whether the mapping T is a linear transformation, and if so, find its kernel. a² + b?a(b)c dPick the appropriate answer from below.Kernel of T is of the form:Not applicablea bc dbaa db T: M 22 →R, where(: :)a b= 3a – 2b +c-d(a)c dPick the appropriate answer from below.Kernel of T is of the form:[:aс За - 2b + сNot applicableb За — 2b + сЗа - 2b + с b|a

(b) Given that, Tabcd=a2+b2 To find whether the given T is linear transformation. (i)…

Answered: a b = a² + b² (b) c d

Math

Advanced Math

a b = a² + b² (b) c d

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.9: Properties Of Determinants

Problem 43E

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Question

Determine whether the mapping T is a linear transformation, and if so, find its kernel.

a² + b?
a
(b)
c d
Pick the appropriate answer from below.
Kernel of T is of the form:
Not applicable
a b
c d
b
a
a d
b

T: M 22 →R, where
(: :)
a b
= 3a – 2b +c-d
(a)
c d
Pick the appropriate answer from below.
Kernel of T is of the form:
[:
a
с За - 2b + с
Not applicable
b За — 2b + с
За - 2b + с b
|
a

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