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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.
Transcribed Image Text: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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