Linear Algebra - Isomorphism, Matrix of Linear Transformation Let β = [v1,v2,v3] be a basis for R3, where v1 = (1,0,1), v2 = (1,−2,0), v3 = (−1, 3, 1). Let T : R3 → R3 be a linear transformation. Compute: T(v1- 2v2 + v3) if T(v1) = 3v1+v2, T(v2)=v2−v3, T(v3)=2v1+3v3.
Linear Algebra - Isomorphism, Matrix of Linear Transformation Let β = [v1,v2,v3] be a basis for R3, where v1 = (1,0,1), v2 = (1,−2,0), v3 = (−1, 3, 1). Let T : R3 → R3 be a linear transformation. Compute: T(v1- 2v2 + v3) if T(v1) = 3v1+v2, T(v2)=v2−v3, T(v3)=2v1+3v3.
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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Let β = [v1,v2,v3] be a basis for R3, where v1 = (1,0,1), v2 = (1,−2,0), v3 = (−1, 3, 1). Let T : R3 → R3 be a linear transformation. Compute:
T(v1- 2v2 + v3) if T(v1) = 3v1+v2, T(v2)=v2−v3, T(v3)=2v1+3v3.
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