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The n n matrix A, Ax = 0. Please give me a condition of A as following table. (You must to know the reason

The n x n matrix A, Ax = 0. Please give me a condition of A as following table. (You must to know the reason of answer, but y

The n n matrix A, Ax = 0. Please give me a condition of A as following table. (You must to know the reason of answer, but you should not write the derivations now || A|| invertible rank(A) dimension of C(A) dimension of Null(A) x has only the zero solution x has non-zero solution

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