Determine whether the linear transformation T is one-to-one and onto. a -B- b T: R³ (a) one-to-one (b) onto O one-to-one O not one-to-one O onto › M₂2 defined by T(p(x)) = not onto a-b b - C a + b b + c
Determine whether the linear transformation T is one-to-one and onto. a -B- b T: R³ (a) one-to-one (b) onto O one-to-one O not one-to-one O onto › M₂2 defined by T(p(x)) = not onto a-b b - C a + b b + c
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 16CM
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![Determine whether the linear transformation T is one-to-one and onto.
3
T: R³ → M₂2 defined by T(p(x)) =
=
22
(a) one-to-one
(b) onto
one-to-one
O not one-to-one
onto
not onto
a
b
с
=
a-b
[8+bb+c]
a + b b + c
C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c4c6df5-8b96-455e-b2de-04bdb043521a%2F1e767243-35ad-4fe0-85e4-4d8593b04024%2Fmhvmmmc_processed.png&w=3840&q=75)
Transcribed Image Text:Determine whether the linear transformation T is one-to-one and onto.
3
T: R³ → M₂2 defined by T(p(x)) =
=
22
(a) one-to-one
(b) onto
one-to-one
O not one-to-one
onto
not onto
a
b
с
=
a-b
[8+bb+c]
a + b b + c
C
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