Let T R³ →→→ R³ be a linear transformation such that T(1,0,0) (2, 4, -1), T(0, 1, 0) = (1, 3, —2) and T(0, 0, 1) = (0,−2,2). Find T(7, 1, −5). =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let T: R³
R³ be a linear transformation such that T(1,0,0)
(2, 4,-1), T(0, 1, 0) = (1, 3, —2) and T(0, 0, 1) = (0, −2, 2). Find T(7, 1, −5).
=
Transcribed Image Text:Let T: R³ R³ be a linear transformation such that T(1,0,0) (2, 4,-1), T(0, 1, 0) = (1, 3, —2) and T(0, 0, 1) = (0, −2, 2). Find T(7, 1, −5). =
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