Define the linear transformation T by T(x) - Ax. -1 6 A 1 (a) Find the kernel of T. (If there are an infinite number of solutions uset as your parameter.) ker(7) - (b) Find the range of T. OR O {(-t, t): t is any real number) O ((t, 6t): t is any real number) O ((6t, t): t is any real number) O R?

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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Define the linear transformation T by T(x) - Ax.
-16
1
(a) Find the kernel of T. (If there are an infinite number of solutions uset as your parameter.)
ker(7) -
(b) Find the range of T.
OR
O {(-t, t): t is any real number)
O ((t, 6t): t is any real number)
O ((6t, t): t is any real number)
O R?
Transcribed Image Text:Define the linear transformation T by T(x) - Ax. -16 1 (a) Find the kernel of T. (If there are an infinite number of solutions uset as your parameter.) ker(7) - (b) Find the range of T. OR O {(-t, t): t is any real number) O ((t, 6t): t is any real number) O ((6t, t): t is any real number) O R?
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