In Exercises 5–14, the matrix associated with the solution to a system of linear equations in x, y, and z is given. Write the solution to the system, if it exists. 14. [ 1 0 − 1 3 0 1 2 − 2 0 0 0 0 ]
In Exercises 5–14, the matrix associated with the solution to a system of linear equations in x, y, and z is given. Write the solution to the system, if it exists. 14. [ 1 0 − 1 3 0 1 2 − 2 0 0 0 0 ]
Solution Summary: The author explains that the matrix associated with the solution to a system of linear equations is in row-echelon form.
In Exercises 5–14, the matrix associated with the solution to a system of linear equations in x, y, and z is given. Write the solution to the system, if it exists.
In Exercises 11–14, solve the systems of equations in Z7.
In Exercises 5–8, use the definition of Ax to write the matrix equation as a
vector equation, or vice versa.
5.
5 1 8 4
-2 -7 3 −5
5
-1
3
-2
=
-8
-
[18]
16
In Exercises 5–8, determine if the columns of the matrix form a linearly independent set. Justify each answer.
Chapter 7 Solutions
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