(a ) Show that the zero matrix is the only 3 x 3 matrix whose null space has dimension

Chapter 4, Problem 25

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(a ) Show that the zero matrix is the only 3 x 3 matrix whose null space has dimension 3.(h) Let A be a nonzero 3 x 3 matrix and suppose thatAx = 0 has a nontri vial solution. Show that thedimension of the null space of A is either I or 2.

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