vertcat
Concatenate symbolic arrays vertically
Description
vertcat( vertically
concatenates the symbolic arrays A1,...,AN)A1,...,AN. For vectors and
matrices, all inputs must have the same number of columns. For multidimensional
arrays, vertcat concatenates inputs along the first dimension.
The remaining dimensions must match.
[A1;...;AN] is a shortcut for
vertcat(A1,...,AN).
Examples
Concatenate Two Symbolic Vectors Vertically
Concatenate the two symbolic vectors A and
B to form a symbolic matrix.
A = sym('a%d',[1 4]);
B = sym('b%d',[1 4]);
vertcat(A,B)ans = [ a1, a2, a3, a4] [ b1, b2, b3, b4]
Alternatively, you can use the shorthand [A;B] to concatenate
A and B.
[A;B]
ans = [ a1, a2, a3, a4] [ b1, b2, b3, b4]
Concatenate Multiple Symbolic Arrays Vertically
Concatenate multiple symbolic arrays into one symbolic matrix.
A = sym('a%d',[1 3]);
B = sym('b%d%d',[4 3]);
C = sym('c%d%d',[2 3]);
vertcat(C,A,B)ans = [ c11, c12, c13] [ c21, c22, c23] [ a1, a2, a3] [ b11, b12, b13] [ b21, b22, b23] [ b31, b32, b33] [ b41, b42, b43]
Concatenate Multidimensional Arrays Vertically
Create the 3-D symbolic arrays A and
B.
A = [2 4; 1 7; 3 3]; A(:,:,2) = [8 9; 4 5; 6 2]; A = sym(A) B = [8 3; 0 2]; B(:,:,2) = [6 2; 3 3]; B = sym(B)
A(:,:,1) = [ 2, 4] [ 1, 7] [ 3, 3] A(:,:,2) = [ 8, 9] [ 4, 5] [ 6, 2] B(:,:,1) = [ 8, 3] [ 0, 2] B(:,:,2) = [ 6, 2] [ 3, 3]
Use vertcat to concatenate A and
B.
vertcat(A,B)
ans(:,:,1) = [ 2, 4] [ 1, 7] [ 3, 3] [ 8, 3] [ 0, 2] ans(:,:,2) = [ 8, 9] [ 4, 5] [ 6, 2] [ 6, 2] [ 3, 3]
