PG entrance exam CUET PG 2025 Mock Test Mathematics Matrices

Consider the linear transformation T : R4 → R4 given by T(x, y, z, u) = (x, y, 0, 0) ∀ (x, y, z, u) ∈ R4. Then which one of the following is correct?

1
Rank of T > Nullity of T
2
Rank of T < Nullity of T
3
Rank of T = Nullity of T = 3
4
Rank of T = Nullity of T = 2
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