With Prepend
we can add a line to all matrices in a set, like this:
X = {{{1,3,7,6},{2,1,3,2},{3,1,7,2}},{{7,7,1,8},{9,3,4,2},{2,4,4,6,1}},{{1,6,7,1},{4,5,8,1},{5,5,7,3}}};
Map[Prepend[{1, 1, 1, 1}]]@X
This code adds the line {1,1,1,1}
to each matrix of the set X
.
To concatenate a given matrix 2 x 4
with each matrix of the set X
we can use Prepend
twice. But if
Y={{{2,6,8,2}, {9,4,9,8}},{{1,7 ,4,2},{7,6,9,6}}}
how can I obtain all the possible concatenations of the matrices from Y
with those from X
(in this order)?
The order is important. Each element of the resultant set is a matrix whose first two lines are a matrix from Y
and the last ones is a matrix from X
, like this one:
{{2,6,8,2},{9,4,9,8},{1,3,7,6},{2,1,3,2},{3,1,7,2}}
The code have to work on n x 9
matrices (n < 5
).