Question: For each statement below, indicate whether it is True or False and briefly say why: a. If A is a 4 x 7 matrix with

For each statement below, indicate whether it is True or False

For each statement below, indicate whether it is True or False and briefly say why: a. If A is a 4 x 7 matrix with 3 pivot columns, colA-913 b. If A is a 4 7 matrix with 3 pivot columns, nuIA E C. The rank of A is always equal to the rank of A. d. The dimension of the null space of AT is always equal to the dimension of the null space of A f. If A is an m n matrix, rankA + dim( nulAT) = m

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