How to take Inverse of a 6x6 cell array in MATLAB?

I have a 6x6 cell array(C_dry ). Each element in this array is 142x1 matrix.

How to take inverse of this array?

C_dry = {A B F 0 0 0        
         B A F 0 0 0
         F F C 0 0 0
         0 0 0 D 0 0 
         0 0 0 0 D 0
         0 0 0 0 0 M};    %6x6 cell array

When i run below command

S_d = pinv(C_dry);

follwoing error appears,

Undefined function 'svd' for input arguments
of type 'cell'.

Error in pinv (line 18)
[U,S,V] = svd(A,'econ');

[Stephen23]

"I have a 6x6 cell array(C_dry ). Each element in this array is 142x1 matrix. How to take inverse of this array?"

What is your definition of "inverse" for a cell array where each cell contains a 142x1 matrix?

[M bilal]

i finally understood , inverse will not work for this so of transpose. i can only use follwoing,in order to get rid of this problem

S_d = C_dry;

Answer 1

[madhan ravi]

Assuming by inverse you mean transpose :

 C_dry = cellfun(@transpose, C_dry, 'un', 0)

[Walter Roberson]

They show a pinv() -- pseudoinverse -- call. This is not related to transpose.

[M bilal]

Thank you for your kind reply.

If i use transpose instead of inverse, this means i don't need inverse for this.. Transpose will only convert coulmns into rows.

I can use this one,

S_d = C_dry;

[Ameer Hamza]

If you need pseudo-inverse

C_dry = cellfun(@pinv, C_dry, 'un', 0) % or
C_dry = cellfun(@(x) x\eye(numel(x)), C_dry, 'un', 0)

[madhan ravi]

Thank you sir Walter and Ameer.

[M bilal]

Thanks for your answer, Ameer Hamza

when i use this

C_dry = cellfun(@(x) x\eye(numel(x)), C_dry, 'un', 0)

C_dry array converted into 1x142 martix, after inverse. how to convert back into 142x1 martix? becasue I need to use this order (142x1) array further in code.

[Walter Roberson]

What size and datatype of output are you hoping for?

[M bilal]

after inverse, i need C_dry as a 6x6 cell, having each element asa 142x1 double datatype column matrix.

Answer 2

[Walter Roberson]

If you just happen to mean that you want to take

C_dry(K) = pinv([
         A(K) B(K) F(K) 0    0    0        
         B(K) A(K) F(K) 0    0    0
         F(K) F(K) C(K) 0    0    0
         0    0    0    D(K) 0    0 
         0    0    0    0    D(K) 0
         0    0    0    0    0   M(K)
         ])

for all 142 values, then:

  syms A_ B_ F_ C_ D_ M_
  C_dry_ = simplify(pinv([A_ B_ F_ 0 0 0; B_ A_ F_ 0 0 0; F_ F_ C_ 0 0 0; 0 0 0 D_ 0 0; 0 0 0 0 D_ 0; 0 0 0 0 0 M_]));
  D3 = @(M) reshape(M,1,1,[]);
  
  C_dry = subs(C_dry_, {A_, B_, C_, D_, F_, M_}, {D3(A), D3(B), D3(C), D3(D), D3(F), D3(M)});
  

The resulting C_dry would be 6 x 6 x numel(A)