I. Answer "True" or "False" for each statement. If the statement is "true," provide justification (proof) your answer. If the statement is "false," provide a counter example that would be true. for i. If i is in both the nullspace and the column space of an n x n matrix A, then i = ỡ. ii. If A is a square matrix, NS(A) is the same as the eigenspace Eo · ii. If A is a square matrix, every vector is an eigenvector in the eigenspace E·

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A: Solution :-

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Q: Consider the matrix A = 0 o 0 0 -2

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