Let T: R2 R³ be given by T(x, y) = (x+y, x, y). Let B = {(1,−1), (0, 1)} and B' = {(1,1,0), (0, 1, 1), (1, 0, 1)}. Let v = (5,4). a) Find the standard matrix for T. b) Find the matrix for T relative to B and B'. c) Find T(v) using the matrix relative to B and B' (the matrix you found in PART b
Let T: R2 R³ be given by T(x, y) = (x+y, x, y). Let B = {(1,−1), (0, 1)} and B' = {(1,1,0), (0, 1, 1), (1, 0, 1)}. Let v = (5,4). a) Find the standard matrix for T. b) Find the matrix for T relative to B and B'. c) Find T(v) using the matrix relative to B and B' (the matrix you found in PART b
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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
Transcribed Image Text:Let T: R2 R³ be given by T(x, y) = (x+y, x, y). Let
B = {(1,−1), (0, 1)} and B' = {(1, 1, 0), (0, 1, 1), (1, 0, 1)}. Let v = (5, 4).
a) Find the standard matrix for T.
b) Find the matrix for T relative to B and B'.
c) Find T(v) using the matrix relative to B and B' (the matrix you found in PART b).
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