For the linear transformation T: R* - R, T(v) = Av, find T(1, 0, 2, 3) and the preimage of (0, 0, 0). 01 -2 2 A = -1 4 50 01 3 2 (a) T(1, 0, 2, 3) (b) the preimage of (0, 0, 0) (If the vector has an infinite number of solutions, give your answer in terms of the parameter t.)

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 39E: For the linear transformation from Exercise 33, find a T(1,1), b the preimage of (1,1), and c the...
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For the linear transformation T: R → R3, T(v) = Av, find T(1, 0, 2, 3) and the preimage of (0, 0, 0).
0 1 -2 2
A =
-1 4
5 0
0 1
3 2
(а) т(1, 0, 2, з)
(b) the preimage of (0, 0, 0) (If the vector has an infinite number of solutions, give your answer in terms of the parameter t.)
Transcribed Image Text:For the linear transformation T: R → R3, T(v) = Av, find T(1, 0, 2, 3) and the preimage of (0, 0, 0). 0 1 -2 2 A = -1 4 5 0 0 1 3 2 (а) т(1, 0, 2, з) (b) the preimage of (0, 0, 0) (If the vector has an infinite number of solutions, give your answer in terms of the parameter t.)
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