. The determinant of an n X n matrix can be usedin solving systems of linear equations, as wellas for other purposes. The determinant of A canbe defined in terms of minors and cofactors. Theminor of element aj is the determinant of the(n – 1) X (n – 1) matrix obtained from A bycrossing out the elements in row i and column j;denote this minor by Mj. The cofactor of elementaj, denoted by Cj. is defined byCy = (-1y**MgThe determinant of A is computed by multiplyingall the elements in some fixed row of A by theirrespective cofactors and summing the results. Forexample, if the first row is used, then the determi-nant of A is given byΣ (α(CI)k=1Write a program that, when given n and the entriesin an n Xn array A as input, computes the deter-minant of A. Use a recursive algorithm.

Since you are not mentioning the programming language, here we are using C++ to complete the…

Answered: . The determinant of an n X n matrix…

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter2: Basic Linear Algebra

Section2.6: Determinants

Problem 3P

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