sum - Maple Help

MTM

 sum
 add elements in a matrix row or column

 Calling Sequence sum(M, dimension)

Parameters

 M - matrix, vector, or array dimension - 1 or 2

Description

 • The sum(M) command computes the sum of the elements in the first non-singleton dimension of the given array.
 • The sum(M,dimension) command computes the sum of the elements in the given singleton dimension of the given array.
 • If M is 1-D, sum(M) computes the sum of the elements in the given vector.
 • If M is 2-D, sum(M) or sum(M, 1) creates a row vector of column sums of the matrix.  The sum(M, 2) command creates a column vector of row sums of the matrix.
 • When M has n dimensions, sum will return an array with n-1 dimensions.  Subarrays will be added together along the specified dimension (or first non-singleton dimension if unspecified).

Examples

 > $\mathrm{with}\left(\mathrm{MTM}\right):$
 > $M≔\mathrm{Matrix}\left(2,3,'\mathrm{fill}'=12{x}^{2}{y}^{3}\right):$
 > $\mathrm{sum}\left(M,1\right)$
 $\left[\begin{array}{ccc}{24}{}{{x}}^{{2}}{}{{y}}^{{3}}& {24}{}{{x}}^{{2}}{}{{y}}^{{3}}& {24}{}{{x}}^{{2}}{}{{y}}^{{3}}\end{array}\right]$ (1)