Symbolic Math Toolbox

tril

Symbolic lower triangle

Syntax

• tril(X)
  tril(X,K)
  

Description

tril(X) is the lower triangular part of X.

tril(X,K) returns a lower triangular matrix that retains the elements of X on and below the k-th diagonal and sets the remaining elements to 0. The values k=0, k>0, and k<0 correspond to the main, superdiagonals, and subdiagonals, respectively.

Examples

Suppose

• A =
  [   a,   b,   c ]
  [   1,   2,   3 ]
  [ a+1, b+2, c+3 ]
  

Then tril(A) returns

• [   a,   0,   0 ]
  [   1,   2,   0 ]
  [ a+1, b+2, c+3 ]
  

tril(A,1) returns

• [   a,   b,   0 ]
  [   1,   2,   3 ]
  [ a+1, b+2, c+3 ]
  

tril(A,-1) returns

• [   0,   0,   0 ]
  [   1,   0,   0 ]
  [ a+1, b+2,   0 ]
  

See Also

diag, triu

taylortool

triu