Define the linear transformation T by T(x) = Ax. 1 2-1 4 3 1 2-1 A = -1 -2 1 1 -4 -3 -1 -3 I (a) Find the kernel of T. (If there are an infinite number of solutions use t as your parameter.) ker(7) =

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 44E: Let T:P2P4 be the linear transformation T(p)=x2p. Find the matrix for T relative to the bases...
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Define the linear transformation T by T(x) = Ax.
1
2 -1 4
3
1 2 -1
A =
-1 -2
1 1
-4 -3 -1
-3
I
(a) Find the kernel of T. (If there are an infinite number of solutions use t as your parameter.)
ker(T) =
{
=
Transcribed Image Text:Define the linear transformation T by T(x) = Ax. 1 2 -1 4 3 1 2 -1 A = -1 -2 1 1 -4 -3 -1 -3 I (a) Find the kernel of T. (If there are an infinite number of solutions use t as your parameter.) ker(T) = { =
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