(b) Let ƒ and g be linear transformations represented by the matrices A = [¯7² º] and B = [33], respectively, relative to the standard basis {i,j}. Determine the matrices that represent the composite transformations (i) gof: R² R² (ii) fog: R2 R² Hence find a rule for each composite transformation in the form F(x, y) = (ax +by, cx + dy).
(b) Let ƒ and g be linear transformations represented by the matrices A = [¯7² º] and B = [33], respectively, relative to the standard basis {i,j}. Determine the matrices that represent the composite transformations (i) gof: R² R² (ii) fog: R2 R² Hence find a rule for each composite transformation in the form F(x, y) = (ax +by, cx + dy).
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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