Consider the linear transformation T: R? → R³ such that T(X) = Ax where A =1310. Is b-2 -3]316 in the range of the linear transformation T? If not, why not? If so, find a-18vector x such that T(x) = b.

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Consider the linear transformation T: R? R3 such that T(x) = Až where A = %3D 1 10. Is b = -3] 3 6. 3 16 in the range of the linear transformation T? If not, why not? If so, find a -2 -18 vector x such that T(x) = b.

Consider the linear transformation T: R? R3 such that T(x) = Až where A = %3D 1 10. Is b = -3] 3 6. 3 16 in the range of the linear transformation T? If not, why not? If so, find a -2 -18 vector x such that T(x) = b.

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 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.

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Question

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Consider the linear transformation T: R? → R³ such that T(X) = Ax where A =
1
3
10. Is b
-2 -3]
3
16 in the range of the linear transformation T? If not, why not? If so, find a
-18
vector x such that T(x) = b.

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