A | B с D Suppose M is the matrix with blocks A, B, C, D. 1. For each of the following 3 cases, write down 1 x 1 matrices A, B, C, D and nullity(A), nullity (M) such that: 1. nullity(M) > nullity(A); 2. nullity (M) = nullity(A); 3. nullity (M) < nullity(A). 2. Prove that in general, rank(M) rank(A).

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