A
Chat with our AI personalities
Then it has (not have!) a unique solution.
It may or may not exist. If the matrix of coefficients is singular then there is no solution.
True
Matrix inverses and determinants, square and nonsingular, the equations AX = I and XA = I have the same solution, X. This solution is called the inverse of A.
It isn't clear what you want to solve for. If you want to find the matrix, there is not a unique solution - there are infinitely many matrices with the same determinant.