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Let T be a linear transformation from a vector space into a vector space with U as finite dimensional. The rank of T is the dimension of the

  • a)
    null space of T 

  • b)
    range of T

  • c)
    vector space U

  • d)
    vector space V

Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Let T be a linear transformation from a vector space into a vector sp...
Yes option A is correct as the rank determines the number of linearly independent vectors that span the range of the Transformation here the range is the subset of V(F).
rank of T is the number of linearly independent column
s that represent the matrix of the transformation T and by theory of linearly equations we can verify the correctness of the above fact
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Community Answer
Let T be a linear transformation from a vector space into a vector sp...
A) range of t
B) null space of t
C) vector space u
D) vector space v
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Let T be a linear transformation from a vector space into a vector space with U as finite dimensional. The rank of T is the dimension of thea)null space of Tb)range of Tc)vector space Ud)vector space VCorrect answer is option 'B'. Can you explain this answer?
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