)* Let T : R³ → R' be a linear transformation for which T(1,1,1) %3D 1,0, 0), T(1,1,0) = (1,3,0, 0), and T(1,0, 0) = (0,0, 1, 0). Calculate T(6, 4, 2). he given information enough to find the value of Ti for any vector v e R³?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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I)* Let T : R³ → R* be a linear transformation for which T(1, 1, 1)
(3, 1,0, 0), T(1, 1, 0) = (1, 3, 0, 0), and T(1,0, 0) = (0,0, 1, 0). Calculate T(6, 4, 2).
Is the given information enough to find the value of Ti for any vector i e R³?
Transcribed Image Text:I)* Let T : R³ → R* be a linear transformation for which T(1, 1, 1) (3, 1,0, 0), T(1, 1, 0) = (1, 3, 0, 0), and T(1,0, 0) = (0,0, 1, 0). Calculate T(6, 4, 2). Is the given information enough to find the value of Ti for any vector i e R³?
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