Let f : R^2 → R^3 be the linear transformation such that f(1, 1) = (0, 1, 2) and f(−1, 1) = (2, 1, 0). Determine the matrix representation of f with respect to the ordered bases B_(R^2) = {(1, 0),(0, 1)} and B_(R^3) = {(1, 0, 0),(0, 1, 1),(0, −1, 1)}.
Let f : R^2 → R^3 be the linear transformation such that f(1, 1) = (0, 1, 2) and f(−1, 1) = (2, 1, 0). Determine the matrix representation of f with respect to the ordered bases B_(R^2) = {(1, 0),(0, 1)} and B_(R^3) = {(1, 0, 0),(0, 1, 1),(0, −1, 1)}.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 8E
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Let f : R^2 → R^3 be the linear transformation such that f(1, 1) = (0, 1, 2) and f(−1, 1) = (2, 1, 0).
Determine the matrix representation of f with respect to the ordered bases B_(R^2) = {(1, 0),(0, 1)} and
B_(R^3) = {(1, 0, 0),(0, 1, 1),(0, −1, 1)}.
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