singular matrix means
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A square matrix that does not have a matrix inverse. A matrix is singular iff its determinant is 0. For example, there are 10 singular (0,1)-matrices: The following table gives the numbers of singular. matrices for certain matrix classes.
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Square matrices have special properties that set them apart from other matrices. A square matrix has the same number of rows and columns. Singular matrices are unique and cannot be multiplied by any other matrix to get the identity matrix. Non-singular matrices are invertible, and because of this property they can be used in other calculations in linear algebra such as singular value decompositions
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