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Let , üz = 7, i = -2 and w %3D Let R'+ R be the linear transformation satisfying T() = w1, T(2) = w2, T(53) = w3. %3D Let z= 0 Find T(2). (Hint: you need to write z as a linear combination of ui, v2, us (show your work!) and use the linearity of T).

Let , üz = 7, i = -2 and w %3D Let R'+ R be the linear transformation satisfying T() = w1, T(2) = w2, T(53) = w3. %3D Let z= 0 Find T(2). (Hint: you need to write z as a linear combination of ui, v2, us (show your work!) and use the linearity of T).

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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3. Let u 3. i = 7, 0, 2 and w 4 wz = %3D %3D %3D Let R + R be the linear transformation satisfying T() = w1, T(52) = w2, T(5) = ws. %3D Let z= 0 Find T(7). (Hint: you need to write z as a linear combination of ui, 2, Us (show your work!) and use the linearity of T).
Transcribed Image Text:3. Let u 3. i = 7, 0, 2 and w 4 wz = %3D %3D %3D Let R + R be the linear transformation satisfying T() = w1, T(52) = w2, T(5) = ws. %3D Let z= 0 Find T(7). (Hint: you need to write z as a linear combination of ui, 2, Us (show your work!) and use the linearity of T).
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