(a) Let T : V R3 be a linear transformation from a vector space V to R3. Geometrically

Chapter 8, Problem 29

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(a) Let T : V R3 be a linear transformation from a vector space V to R3. Geometrically, what are the possibilities for the range of T ? (b) Let T : R3 W be a linear transformation from R3 to a vector space W. Geometrically, what are the possibilities for the kernel of T ?

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