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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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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