linalg::stackMatrix
-- join
matrices verticallylinalg::stackMatrix
(A, B1 <, B2...>)
returns the matrix formed by joining the matrices A, B1, B2,
... vertically.
linalg::stackMatrix(A, B1 <, B2...>)
A, B1, B2... |
- | matrices of a domain of category Cat::Matrix |
a matrix of the domain type Dom::Matrix(R)
, where R
is
the component ring of A
.
B1, B2...
are converted into the matrix
domain Dom::Matrix(R)
, where R
is the
component ring of A
.
An error message is raised if one of these conversions fails, or if
the matrices do not have the same number of columns as the matrix
A
.
We define the matrix:
>> A:= matrix( [[sin(x),x], [-x,cos(x)]] )
+- -+ | sin(x), x | | | | -x, cos(x) | +- -+
and append the 2 x 2 identity matrix to the
lower end of the matrix A
:
>> linalg::stackMatrix(A, matrix::identity(2))
+- -+ | sin(x), x | | | | -x, cos(x) | | | | 1, 0 | | | | 0, 1 | +- -+
We define a matrix from the ring of 2x2 square matrices:
>> SqMatQ := Dom::SquareMatrix(2,Dom::Rational): A := SqMatQ([[1, 2], [3, 4]])
+- -+ | 1, 2 | | | | 3, 4 | +- -+
Note that the following operation:
>> AA := linalg::stackMatrix(A, A)
+- -+ | 1, 2 | | | | 3, 4 | | | | 1, 2 | | | | 3, 4 | +- -+
returns a matrix of a different domain type as the input matrix:
>> domtype(AA)
Dom::Matrix(Dom::Rational)