Question: Let A be a 4 x 7 matrix. The following matrix is obtained after ap- plying some elementary row operations to A: 0 310 0

Let A be a 4 x 7 matrix. The following matrix is obtained after ap- plying some elementary row operations to A: 0 310 0 -1 0 1 0 -101 2 0 0 0 014 1 -1010-1-2 (a) Find a basis for the row space of A, and determine the dimension of row (A). (b) Find the nullity of the matrix A. (c) Find the dimension of the range of the matrix transformation TA defined by A

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