The command lt(M1,M2) performs an element-wise comparison of M1 and M2.

For matrices M1 and M2, the result R is a matrix where  R[i,j] = 1, if M1[i,j] < M2[i,j], and R[i,j] = 0 otherwise.

For matrix M1 and scalar M2, the result R is a matrix where  R[i,j] = 1, if M1[i,j] < M2, and R[i,j] = 0 otherwise.

For scalar M1 and matrix M2, the result R is a matrix where  R[i,j] = 1, if M1< M2[i,j], and R[i,j] = 0 otherwise.

For scalars M1 and M2, the result R = 1, if M1 < M2, and R = 0 otherwise.

M1 and M2 must be the same size, or scalars.  

$\mathrm{with}\left(\mathrm{MTM}\right)\&colon;$

$\mathrm{M1}≔\mathrm{Matrix}\left(\left[\left[1\&comma;2\right]\&comma;\left[4\&comma;4\right]\right]\right)\&colon;$

$\mathrm{M2}≔\mathrm{Matrix}\left(\left[\left[1\&comma;2\right]\&comma;\left[3\&comma;5\right]\right]\right)\&colon;$

$\mathrm{lt}\left(\mathrm{M1}\&comma;\mathrm{M2}\right)$

$\left[\begin{array}{cc}0& 0\\ 0& 1\end{array}\right]$

$\mathrm{M1}≔\mathrm{Matrix}\left(\left[\left[1\&comma;2\right]\&comma;\left[4\&comma;4\right]\right]\right)\&colon;$

$\mathrm{lt}\left(\mathrm{M1}\&comma;2\right)$

$\left[\begin{array}{cc}1& 0\\ 0& 0\end{array}\right]$