To state: Cramer’s Rule for solving a system of linear equation.
Answer to Problem 16RCC
The solution is given by
Explanation of Solution
Given:
Calculation:
Cramer's Rule states the following:
If A is a
That is, for each variable
Where the matrix
Cramer's Rule is useful when the matrix A from the equation
However, Cramer's Rule becomes tedious for larger systems as compute the determinant of large matrices involves a lot of expansions along cofactors.
In addition, Cramer's Rule is limited to square matrices and so it provides us with no information regarding other matrices. Gaussian elimination, on the other, is applicable to any matrix regardless of whether a solution is exists or is unique.
Conclusion:
Therefore, the solution is given by
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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