a. Suppose f : R? → R° is a linear transformation such that () Then f b. Suppose f : R2 → R² is a linear transformation such that f(ëa) = (), f(ë;) = f(ës) = (2). Then f(3ë4 + 4ë7) – f(2ës +7ể7) : c. Let V be a vector space and let i1, ö2, dz € V. Suppose T :V → R² is a linear transformation such that T(51) = ( 3. C), T(52) = (), T(53) = %3D Then –2T(5,) + T(302 + 703) =
a. Suppose f : R? → R° is a linear transformation such that () Then f b. Suppose f : R2 → R² is a linear transformation such that f(ëa) = (), f(ë;) = f(ës) = (2). Then f(3ë4 + 4ë7) – f(2ës +7ể7) : c. Let V be a vector space and let i1, ö2, dz € V. Suppose T :V → R² is a linear transformation such that T(51) = ( 3. C), T(52) = (), T(53) = %3D Then –2T(5,) + T(302 + 703) =
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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Transcribed Image Text:a. Suppose f : R? → R° is a linear transformation such that
2
Then f
b. Suppose f : R12 → R² is a linear transformation such that
f(ea) =
f(ë;) =
f(ës) = (
Then f(3e4 +4ē7) – f(2ēs + 7ë;) =
c. Let V be a vector space and let i1, 02, vz E V. Suppose T:V → R² is a linear transformation such that
T(5,) = (),
T(52) = (),
T(i3) =
%3D
Then –2T(v1) +T(3v2+ 703)
I
||
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