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2.x – y+ z (1) Let T : R³ → R² be a linear transformation defined by T -x + y + 4z {v1, 02, 03} with ủị Let D = {fi, f2} with fi Let B = 3 , f2 = Then B is a basis of R³, and D is a basis of R². (a) Find Mp, B(T). DEB (b) Verify that C,(T(F)) = Mpe B(T)C,(F) for = E R³. DEB

2.x – y+ z (1) Let T : R³ → R² be a linear transformation defined by T -x + y + 4z {v1, 02, 03} with ủị Let D = {fi, f2} with fi Let B = 3 , f2 = Then B is a basis of R³, and D is a basis of R². (a) Find Mp, B(T). DEB (b) Verify that C,(T(F)) = Mpe B(T)C,(F) for = E R³. DEB

Advanced Engineering Mathematics
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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2.x – y+ z (1) Let T : R³ → R² be a linear transformation defined by T -x + y + 4z {v1, 02, 03} with ủị Let D = {fi, f2} with fi Let B = 3 , f2 = Then B is a basis of R³, and D is a basis of R². (a) Find Mp, B(T). DEB (b) Verify that C,(T(F)) = Mpe B(T)C,(F) for = E R³. DEB
Transcribed Image Text:2.x – y+ z (1) Let T : R³ → R² be a linear transformation defined by T -x + y + 4z {v1, 02, 03} with ủị Let D = {fi, f2} with fi Let B = 3 , f2 = Then B is a basis of R³, and D is a basis of R². (a) Find Mp, B(T). DEB (b) Verify that C,(T(F)) = Mpe B(T)C,(F) for = E R³. DEB
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