For a 9x9 matrix, this indeed means that the matrix is not invertible for doubles (as the rank function accounts for machine precision). You can see that this Matrix is not of full rank by executing the rank function: rank(A) = 8. ![]() Since you are working with floating point numbers, this sometimes causes other subtle problems, one of which you can see in the result of det(A), which is in the order of 1e-16, i.e. You could verify that manually (haven't taken the time to do so), but MATLAB already points this out by showing that warning. The matrix you provided isn't of full rank, so it isn't invertible. ![]() The problem is indeed in your mathematics.
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