i) Let A be the Let T: RM → R^ be defined Is it true or False? 2x4 matrix ii) Find a basis for range iii) Nullity (T) - ? (T) 24 [² 4 68 ] T(V) = AV by Then n = 4 iv) Is the linear transformation T one-to-one ? v) The linear transformation I is onto?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 73E: Show that T from Exercise 71 is represented by the matrix A=[12121212]. Proof Let T be the function...
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i Let
A be
the
Let T: RM → R be defined
Is it true or False?
iii) Nullity (T) =
2×4 matrix
ii) Find a basis for range (T).
?
24
[ ² 4 68 ]
by
iv) Is the linear transformation T
T (V)
= Av.
One-
v) The linear transformation Tis onto?
Then n = 4
to-one?
Transcribed Image Text:i Let A be the Let T: RM → R be defined Is it true or False? iii) Nullity (T) = 2×4 matrix ii) Find a basis for range (T). ? 24 [ ² 4 68 ] by iv) Is the linear transformation T T (V) = Av. One- v) The linear transformation Tis onto? Then n = 4 to-one?
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