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177% + 4. Write a function B = BasisOfNullSpace(A) whose input A is a matrix and whose output B is a matrix whose columns form a basis for the nullspace of A. Use the following method to compute this basis. Let A be an m x n matrix of rank r. Recall (Meyer page 175) that the general solution, x = (x1, ... , un]?, of Ax = 0 can be expressed in the form x= xf, h +...+ 2 An- hn-r. (1) Here fi, ... , fn-- are the indices of the free variables. Furthermore, the matrix H = h,..., hn--] (2) is an m x (n - r) matrix whose columns form a basis for N(A). 1 177% + 4. Write a function B = BasisOfNullSpace(A) whose input A is a matrix and whose output B is a matrix whose columns form a basis for the nullspace of A. Use the following method to compute this basis. Let A be an m x n matrix of rank r. Recall (Meyer page 175) that the general solution, x = (x1, ... , un]?, of Ax = 0 can be expressed in the form x= xf, h +...+ 2 An- hn-r. (1) Here fi, ... , fn-- are the indices of the free variables. Furthermore, the matrix H = h,..., hn--] (2) is an m x (n - r) matrix whose columns form a basis for N(A). 1