33. a. Let T:V→R¹ be a linear transformation from a vectorspace V to R³. Geometrically, what are the possibilities forthe range of T?b. LetT : Rª – W be a linear transformation from R¹ to a vec-tor space W. Geometrically, what are the possibilities forthe kernel of T?

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Answered: 3. a. Let T: V→R³ be a linear…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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3. a. Let T: V→R³ be a linear transformation from a vector space V to R¹. Geometrically, what are the possibilities for the range of T? b. Let T: R³W be a linear transformation from R¹ to a vec- tor space W. Geometrically, what are the possibilities for the kernel of T?