spe Let T be the linear transformation whose standard matrix is 1-2 3 A = -1 3-4 -7 -5 -6 Determine whether the linear transformation T is one-to-one and whether it maps R³ onto R³. One-to-one; not onto R³ Not one-to-one; not onto R³ One-to-one: onto R³ Not one-to-one; onto R³

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.5: Applications Of Linear Transformations
Problem 53E
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Determine whether the linear transformation T is one-to-one and whether it maps as
specified.
Let T be the linear transformation whose standard matrix is
1 -2 3
A = -1 3-4
-7 -5 -6
Determine whether the linear transformation T is one-to-one and whether it maps R³
onto R³.
One-to-one; not onto R³
O Not one-to-one; not onto R³
One-to-one: onto R³
Not one-to-one: onto R3
Transcribed Image Text:Determine whether the linear transformation T is one-to-one and whether it maps as specified. Let T be the linear transformation whose standard matrix is 1 -2 3 A = -1 3-4 -7 -5 -6 Determine whether the linear transformation T is one-to-one and whether it maps R³ onto R³. One-to-one; not onto R³ O Not one-to-one; not onto R³ One-to-one: onto R³ Not one-to-one: onto R3
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