Chapter 4: Q 220 (page 444)
Solve each system of equations using a matrix.
Short Answer
The solution for the system of linear equation is
Step by step solution
Step 1. Given information.
Consider the given system of equations,
Step 2. Write in augmented form.
The augmented matrix for the given system of equations is
Step 3. Apply row operations.
Interchanging rows
Apply
localid="1644431494537"
Apply
localid="1644431562941"
Apply
Now, the matrix is in row-echelon form.
Step 4. Write in system of equations.
Writing the corresponding system of equations,
Substitute
Substitute
Step 5. Check the answers.
Substitute the values
This is true.
Substitute the values
role="math" localid="1644591135020"
This is also true.