Q.

What is the principle of factorization?

A. there exists no inverse for a singular matrix
B. determinant of an identity matrix is one
C. every square matrix can be expressed as a product of a lower triangular matrix and upper triangular matrix
D. every matrix can be expressed as a sum of a skew symmetric and a symmetric matrix
Answer» C. every square matrix can be expressed as a product of a lower triangular matrix and upper triangular matrix
Explanation: the principle of factorization is that every square matrix can be expressed as a product of a lower triangular matrix and upper triangular matrix. on the basis of this fact, these lower and upper triangular matrices help us in finding the unknowns.
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