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--- status:
--- author(s): M2fest 2005
--- notes:
document {
Key => diagonalMatrix,
Headline => "make a diagonal matrix",
SeeAlso => {"matrices"},
Subnodes => {
TO (diagonalMatrix, Matrix),
TO (diagonalMatrix, Ring, ZZ, ZZ, List),
},
}
document {
Key => (diagonalMatrix,Matrix),
Headline => "make a diagonal matrix from entries of a matrix",
Usage => "diagonalMatrix m",
Inputs => {
"m" => Matrix
},
Outputs => {
Matrix => {"a diagonal matrix whose diagonal entries are the entries of ", "m"}
},
EXAMPLE {
"R = QQ[a..d];",
"diagonalMatrix vars R"
},
"If the matrix has more than one row, the first column is placed on the diagonal
first, then the second column, etc.",
EXAMPLE {
"diagonalMatrix matrix{{0,2},{4,6}}"
},
SeeAlso => {"matrices"}
}
document {
Key => {(diagonalMatrix, Ring, ZZ, ZZ, List),(diagonalMatrix,Ring,List),(diagonalMatrix,List),
(diagonalMatrix, RingFamily, List),(diagonalMatrix, RingFamily, ZZ, ZZ, List),
(diagonalMatrix, ZZ, ZZ, List)
},
Headline => "make a diagonal matrix from a list",
Usage => "diagonalMatrix(R,L)\ndiagonalMatrix L\ndiagonalMatrix(m,n,L)\ndiagonalMatrix(R,m,n,L)",
Inputs => {
"R" => Ring => "the ring of the matrix, if specified",
"m" => ZZ => "the number of rows, if specified",
"n" => ZZ => "the number of columns, if specified",
"L" => List => {" of elements in the ring ", TT "R", " not longer than ", TT "m", " or ", TT "n"}
},
Outputs => {
Matrix => {"a diagonal matrix whose diagonal entries are the elements of ", TT "L"}
},
EXAMPLE lines ///
R = QQ[a..d];
diagonalMatrix{a,b,c,3/4}
diagonalMatrix(3,5,{a,b,3/4})
diagonalMatrix(R,{1,2,3})
///,
SeeAlso => {"matrices"}
}
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