B = [(1, 0, 1)T, (1, 2, −1)T, (1, 1, 1)T] is an ordered basis for 3, and C = [(1, 2)T, (2, 5)T] is an ordered basis for 2. L is the linear transformation from 3 to 2 defined by L((a, b, c)T) = (2a + c, 3b – c)T. Find the matrix of L with respect to the bases B and C.

B = [(1, 0, 1)T, (1, 2, −1)T, (1, 1, 1)T] is an ordered basis for 3, and C = [(1, 2)T, (2, 5)T] is an ordered basis for 2. L is the linear transformation from 3 to 2 defined by L((a, b, c)T) = (2a + c, 3b – c)T. Find the matrix of L with respect to the bases B and C.

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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