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Solve an algebraic matrix equation

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Please I need help to obtain the variables (U, V, W, Th) as the solution of the matrix algebra equation below, say
syms U V W Th
a24 = 0:0.2:5; % which is a step forcing function (in time)
F = rand(4,4)*[U; V; W; Th] - [zeros(4,2), rand(4,2)]*[0; 0; W^2; Th^2] - [zeros(2,26); a24; a24];
Error using symengine (line 59)
Array sizes must match.
Error in sym/privBinaryOp (line 903)
Csym = mupadmex(op,args{1}.s, args{2}.s, varargin{:});
Error in - (line 7)
X = privBinaryOp(A, B, 'symobj::zip', '_subtract');
I get stuck trying to subtract a 4 by 1 symbol affiliated matrix columnwise from a double 4 by 26 matrix, so that I can obtain the variables using
FF = solve(F == 0,[U,V,W,Th])
I need help with this problem please. Thanks in anticipation.
  5 Comments
Vincent Ike
Vincent Ike on 14 Jul 2021
Yes @walter Roberson I use R2015a

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Accepted Answer

Walter Roberson
Walter Roberson on 13 Jul 2021
The operation is permitted in current versions:
syms U V W Th
a24 = 0:0.2:5; % which is a step forcing function (in time)
F = rand(4,4)*[U; V; W; Th] - [zeros(4,2), rand(4,2)]*[0; 0; W^2; Th^2] - [zeros(2,26); a24; a24]
F = 
You did not mark your release or mention your release, so the volunteers are entitled to expect that you are using the newest version.
However, I happen to recognize the issue: in sufficiently old versions of MATLAB, implicit expansion did not exist. Furthermore, in old enough versions, bsxfun() could not be used for symbolic expressions.
In versions that old, you have to repmat()
F = repmat(rand(4,4)*[U; V; W; Th] - [zeros(4,2), rand(4,2)]*[0; 0; W^2; Th^2], 1, 26) - [zeros(2,26); a24; a24]
F = 
  7 Comments
Vincent Ike
Vincent Ike on 16 Jul 2021
Thank you Walter, I have got much insight with your responses. Now, I have a good question here, https://www.mathworks.com/matlabcentral/answers/879973-how-to-solve-four-sets-of-ode-having-four-variables. I hope to learn more from you.

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