The system of equations is given:
5w − 2x + y + 3z = 2
4w − x + 6y + 2z = 0
w − x − y − z = 3
2w + 7x − 3y + 5z = 12
a. Write the system using a matrix equation in the form A= b.
b. Write the matrix equation that could be used to solve for x. Then use technology to solve for x.
c. Verify your solution using back substitution.
d. Based on your experience solving this problem and others like it in this lesson, what conclusions can you draw
about the efficiency of using technology to solve systems of equations compared to using algebraic methods?