5 1 5 4 Let T be a linear transformation from R³ to R² such that [T] (0,2,3)} is a base of R³ and C is the canonical base of R² respectively. a) Determine [7] c b) Determine the criterion of T c) Calculate a basis for the image of T = 9. where B = {(1,0,0), (0,1,1),

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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1 2
Let T be a linear transformation from R³ to R² such that [T] = (²₂4
5
9.
(0,2,3)} is a base of R³ and C is the canonical base of R² respectively.
a) Determine [7] c
b) Determine the criterion of T
c) Calculate a basis for the image of T
where B = = {(1,0,0), (0,1,1),
Transcribed Image Text:5 1 2 Let T be a linear transformation from R³ to R² such that [T] = (²₂4 5 9. (0,2,3)} is a base of R³ and C is the canonical base of R² respectively. a) Determine [7] c b) Determine the criterion of T c) Calculate a basis for the image of T where B = = {(1,0,0), (0,1,1),
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