If a matrix has real number entries, will the entries stay real numbers when you row-reduce it?
And
If a matrix has rational number entries, will the entries stay rational numbers when you row-reduce it? (Recall that rational numbers are those that can be written as fractions ??, where ?,? are integers.)
And
If a matrix has rational number entries, will the entries stay rational numbers when you row-reduce it? (Recall that rational numbers are those that can be written as fractions ??, where ?,? are integers.)