CODEWITHSUNDEEP
matlabmatrix
chaung1989
chaung1989

Reputation: 1

matrix inside matrix when multiplying symbolic matrices

In matlab, i'm trying to multiply symbolic matrices(size 3X3). The output shows matrix having some elements which are themselves matrices. why some of the elements are matrices?

Example code:

syms a1 a2 a3
F2 = [a1+0.0003 .0002 .0004; a2+.0003 .0005 .0003; a3+.0003 .0002 .0004];
C2 = F2'*F2;
K = C2^(16/57); 
T = inv(K)*C2*inv(K);
S = T - 0.5*T^2 + 0.33*T^3;

Upvotes: 0

Views: 100

Answers (1)

hbaderts
hbaderts

Reputation: 14316

The problem seems to be the K = C2^(16/57). Taking the root of a matrix is not trivial and solutions don't always exist. That's why MATLAB cannot resolve this expression. Try for example:

A = syms('A',[3,3]);    % create 3x3 symbolic matrix
B = A^(1/3);            % calculate the 3rd root of A

The result will be

ans = matrix([[a1_1, a1_2, a1_3], [a2_1, a2_2, a2_3], [a3_1, a3_2, a3_3]])^(1/3)

The same happens in your case. If you look closely, you will see that the matrix expression in S(1,1) is of the form matrix(...)^(32/57)

Upvotes: 0

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