Question: 2. Write your solutions for this question on the Answer Sheets, Page 1 Let A be a 4 x 7 matrix. The following matrix is

2. Write your solutions for this question on the Answer Sheets, Page 1 Let A be a 4 x 7 matrix. The following matrix is obtained after ap- plying some elementary row operations to A: 0310 0 -1 1 0 -101 2 0 0 0 014 1 -10 1 0-1 -2 [4 marks] (a) Find a basis for the row space of A, and determine the dimension of row ( A). [1 marks] (b) Find the nullity of the matrix A. [1 marks] (c) Find the dimension of the range of the matrix transformation TA defined by A

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