What is the principle of factorization?

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Mr. Dubey

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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

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✅ Correct 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.

Explanation by: Mr. Dubey

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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