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- IIT JAM
- Mathematics (MA)
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Anuj s.![best-answer]()
ans 0 Definition: A linear transformation T : V → V is said to be non-singular if T(v) = 0 ⇒ v = 0 i.e. N(T) = {0} Definition: A linear transformation T : V is said to be singular if ∃ some v ∈ V s.t. v≠0 & T(v) = 0 i.e. N(T) contains at least one-zero elemen here dim U = 4 rank 3 (maximum because 3*4 matrix) therefore nulity is 1 (by rank nulity theorem) = singular linear transformation no. of non singular linear transformation is 0