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is true or false i. For all linear transformations S, T : R 3 → R...

is true or false
i. For all linear transformations S, T : R 3 → R 3 , rank(S)+rank(T) = rank(S+T)

ii. Any linear transformation T : R 11 → R 4 has nullity at most 7
iii. For any linear transformation T : R 3 → R 3 and constant c, nullity(cT) = c nullity(T).

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