Question: True or false (a) For A E Rman, its nullity is equal to n minus number of pivots in its RREF. (b) For a square

 True or false (a) For A E Rman, its nullity is

True or false (a) For A E Rman, its nullity is equal to n minus number of pivots in its RREF. (b) For a square matrix A, the nullity of A is equal to the nullity of A. (c) For a square matrix A, if its rows are linearly independent, then so are its columns. (d) For A E Rmxn, A'A is invertible if and only if columns of A are linearly independent. (c) For A E Rmx" with m > n, the matrix A'A is never invertible. (f) Orthogonal column vectors must be linearly independent. (g) Orthogonal nonzero column vectors must be linearly independent

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