Write a system of linear equations represented by the augmented matrix. Then write the solution set.
To calculate: The system of linear equations represented by the augmented matrix
Answer to Problem 1RE
Solution:
The system of linear equations is
Explanation of Solution
Given information:
The augmented matrix
Calculation:
Consider the provided augmented matrix:
Now, the vertical bar within the augmented matrix separates the coefficients of the variable terms in the equations from the constant terms.
Now, extract equations from the matrix as:
Thus,
Now, to determine the solution set of the equations through the provided matrix, reduce the matrix into row-echelon form by performing row operations as:
Thus,
Therefore, the solution set is
Want to see more full solutions like this?
Chapter 6 Solutions
COLLEGE ALGEBRA (LL)W/ACCESS >CUSTOM<
- Solve the system of equations using a matrix: {x+yz=02x+4y2z=63x+6y3z=9 .arrow_forwardWrite each system of linear equations as an augmented matrix. 376. {3xy=12x+2y=5arrow_forwardWrite each system of linear equations as an augmented matrix: (a) {3x+8y=32x=5y3 (b){2x5y+3z=83xy+4z=7x+3y+2z=3arrow_forward
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning