Let D= {d1,d2, d3} and F= {f1, f2, f3} be bases for vector space V, and suppose fi = 2d1 – d2 + d3, f2 = 3d, + d3, and f3 = –3d1+ 2d3. a. Find the change-of-coordinates matrix from F to D. b. Find [x], for x = f1 – 2f, + 2f3. %3D
Let D= {d1,d2, d3} and F= {f1, f2, f3} be bases for vector space V, and suppose fi = 2d1 – d2 + d3, f2 = 3d, + d3, and f3 = –3d1+ 2d3. a. Find the change-of-coordinates matrix from F to D. b. Find [x], for x = f1 – 2f, + 2f3. %3D
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.3: Change Of Basis
Problem 22EQ
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