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Suppose, M is a lower triangular matrix with all diagonal entries zero. The resultant matrix of M+I will be ___________

Suppose, M is a lower triangular matrix with all diagonal entries zero. The resultant matrix of M+I will be ___________ Correct Answer singular

Since, M is a lower triangular matrix with diagonal elements zero, then we add I and it will result in a lower triangular matrix with all diagonal entries 1. Thus, all eigenvalues M+I are non zero (eigenvalues of triangular matrix is the diagonal elements). So, determinant will never be zero. Hence, the matrix can have inverse property.

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