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Delhi University MCA Vector Spaces PYQ



DU MCA Question Paper 2019





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Solution



Let T = R3→R3 be a linear transformation defined by T(x,y,x) = (x-y, y-z, z-x). If rank(T) = ρ and nulity(T)=





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Solution

Let U and V be vector spaces. 
Then they are isomorphic iff there is a bijection from a basis of U to a basis of V. 
The isomorphism is the basis changer function.
This means that if U and V are finite-dimensional vector spaces, they are isomorphic iff dim(U)=dim(V).


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