 le - Maple Help

MTM

 le
 element-wise less than or equal to comparison Calling Sequence le(M1,M2) Parameters

 M1 - matrix, vector, array or scalar M2 - matrix, vector, array or scalar Description

 • The command le(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. Examples

 > $\mathrm{with}\left(\mathrm{MTM}\right):$
 > $\mathrm{M1}≔\mathrm{Matrix}\left(\left[\left[1,2\right],\left[4,4\right]\right]\right):$
 > $\mathrm{M2}≔\mathrm{Matrix}\left(\left[\left[1,2\right],\left[3,5\right]\right]\right):$
 > $\mathrm{le}\left(\mathrm{M1},\mathrm{M2}\right)$
 $\left[\begin{array}{cc}{1}& {1}\\ {0}& {1}\end{array}\right]$ (1)
 > $\mathrm{M1}≔\mathrm{Matrix}\left(\left[\left[1,2\right],\left[4,4\right]\right]\right):$
 > $\mathrm{le}\left(\mathrm{M1},2\right)$
 $\left[\begin{array}{cc}{1}& {1}\\ {0}& {0}\end{array}\right]$ (2)