下面是关于矩阵的最简梯形的伪代码，其中有一些错误，怎么把它翻译成R 语言并且debug？

Question

SET m TO number of rows of A

SET n TO number of columns of A

SET p TO 1

SET q TO 1

WHILE p ≤ m AND q ≤ n

Find the smallest j ≥ q with Ak,j = 0 for some k ≥ p

IF k = p

Replace Rp by Rp/Ak,j

ELSE

Replace Rp by Rp + Rk/Ak,j

IF there are other rows with non-zero entries in the j th column

Replace Ri by Ri i Ai,jRp

SET p TO p + 1

SET q TO j + 1

RETURN A