In Exercises 45–48, explain why the system of equations cannot be solved using Cramer's Rule. Then use Gaussian elimination to solve the system.
2x - 3y + 2z = 4
2x + 3y - 2z = 6
2x - 9y + 6z = 2
Verified step by step guidance
1
Identify the coefficient matrix of the system: A = .
Calculate the determinant of matrix A. If the determinant is zero, Cramer's Rule cannot be applied.
Since the determinant is zero, use Gaussian elimination to solve the system.
Write the augmented matrix: .
Perform row operations to transform the matrix into row-echelon form and then solve for the variables.
Recommended similar problem, with video answer:
Verified Solution
This video solution was recommended by our tutors as helpful for the problem above