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(3) True or False, where A is an n x n matrix. Explain your answer. (a) If the equation Ax = 0 has only the trivial solution, then A is

row equivalent to the n x n identity matrix. (b) If the columns of A span R", then the columns are linear independent. (c) If the columns of A are linearly independent, then the columns span R". (d) If the equation Ax = b has at least one equation for each b E R", then the solution is unique for each b.

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