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Convert real matrix into Integer matrix

Suppose I have a real matrix with integer entries

A = matrix(RR,[[1,2,3],[4,5,6]])

I would like to convert it to an Integer matrix (ZZ). I can do it element by element but is there a function that will do this for the entire matrix. Doing B=ZZ(A) will return an error message

unable to coerce <type 'sage.matrix.matrix_generic_dense.matrix_generic_dense'=""> to an integer.