Determine whether each statement is true or false. If a statement is true, give a reason or cite an appropriate statement from the text. If a statement is false, provide an example that shows the statement is not true in all cases or cite an appropriate statement from the text. (a) The zero matrix is an elementary matrix. True, the zero matrix is an elementary matrix because it contains only zeros. True, the zero matrix is an elementary matrix because it can be obtained by multiplying each of the columns of the identity matrix by 0. True, the zero matrix is an elementary matrix because the zero matrix can be obtained by multiplying each of the rows of the identity matrix by 0. False, the zero matrix is not an elementary matrix because it requires more than one elementary row operation to obtain it from the identity matrix. False, the zero matrix is not an elementary matrix because it is impossible to obtain the zero matrix by applying any elementary row operation to the identity matrix.