TRUE OR FALSE?
The formula rref(AB) = rref(A) rref(B) holds for all matrices A and for all matrices .
The given statement is true.
The reduced row echelon form of a matrix contains leading ones followed by zeros in each row with a shift in place of leading ones with every next row.
The product of rref of matrices will result in either identity matrix or the identity matrix followed by rows of zeros.
Thus, the formula rref(AB) = rref (A) rref(B) holds good.
Hence, the statement is true.
94% of StudySmarter users get better grades.Sign up for free