Matricesmedium
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By the rank-nullity theorem, for an m×nm \times n matrix AA: rank(A)+nullity(A)=n\text{rank}(A) + \text{nullity}(A) = n where nullity is the dimension of the null space ker(A)\ker(A). For a 6×46 \times 4 matrix AA with rank 2, what is the dimension of the null space?