Question: (a) Show that the zero matrix is the only 3 ( 3 matrix whose null space has dimension 3. (b) Let A be a nonzero

(a) Show that the zero matrix is the only 3 ( 3 matrix whose null space has dimension 3.
(b) Let A be a nonzero 3 ( 3 matrix and suppose that Ax = 0 has a nontrivial solution. Show that the dimension of the null space of A is either 1 or 2.

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a Let A a ij Since the dimension of the null space of A is 3 the null space of A is R 3 Then the n... View full answer

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