at what state the matrix is non singular
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A non-singular matrix is a square one whose determinant is not zero. The rank of a matrix [A] is equal to the order of the largest non-singular submatrix of [A]. It follows that a non-singular square matrix of n × n has a rank of n. Thus, a non-singular matrix is also known as a full rank matrix.
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Non-singular matrices have non-zero determinants. Find the inverse for the matrix. If the matrix has an inverse, then the matrix multiplied by its inverse will give you the identity matrix.
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