Suppose that T : Rª → R³ is a linear transformation and that T(1, 1, 1, 1) = (0,0,0). Choose the optic hat correctly completes each of the following statements. - T [ Select ] v onto. - T [ Select ] one-to-one. - nullity(T) [ Select ]
Suppose that T : Rª → R³ is a linear transformation and that T(1, 1, 1, 1) = (0,0,0). Choose the optic hat correctly completes each of the following statements. - T [ Select ] v onto. - T [ Select ] one-to-one. - nullity(T) [ Select ]
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 6CM: Let T:R4R2 be the linear transformation defined by T(v)=Av, where A=[10100101]. Find a basis for a...
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T___onto
Is definitely not
Might be
Definitely is
T is _____one-to-one
Is definitely not
Might be
Definitely is
nullity(T)
Is at most 1
At least 1
Must equal 1
Expert Solution
Step 1
Given: is a linear transformation.
and
since
since is not trivial.
hence is definitely not one-one.
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