Consider the linear transformation T : R 4 → R 4 given by T(x, y, z, u) = (x, y, 0, 0) ∀ (x, y, z, u) ∈ R 4 . Then which one of the following is correct?

Correct Answer is : Rank of T = Nullity of T = 2

AAI ATC Junior Executive 26 Dec 2015 Shift 2 Paper

Question : 106 of 120

Marks: +1, -0

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?

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