In Exercises 17 − 24 , (a) write a matrix equation that is equivalent to the system of linear equations, and (b) solve the system using the inverse found in Exercises 5 − 16 . 3 x 1 − 2 x 2 + 7 x 3 = 6 − 2 x 1 + x 2 + 4 x 3 = 4 6 x 1 − 5 x 2 + 8 x 3 = 4 (See Exercise 14.) In Exercises 5 − 16 , find the inverse of the matrix, if it exists. Verify your answer. 14. [ 3 − 2 7 − 2 1 4 6 − 5 8 ]
In Exercises 17 − 24 , (a) write a matrix equation that is equivalent to the system of linear equations, and (b) solve the system using the inverse found in Exercises 5 − 16 . 3 x 1 − 2 x 2 + 7 x 3 = 6 − 2 x 1 + x 2 + 4 x 3 = 4 6 x 1 − 5 x 2 + 8 x 3 = 4 (See Exercise 14.) In Exercises 5 − 16 , find the inverse of the matrix, if it exists. Verify your answer. 14. [ 3 − 2 7 − 2 1 4 6 − 5 8 ]
In Exercises
17
−
24
, (a) write a matrix equation that is equivalent to the system of linear equations, and (b) solve the system using the inverse found in Exercises
5
−
16
.
3
x
1
−
2
x
2
+
7
x
3
=
6
−
2
x
1
+
x
2
+
4
x
3
=
4
6
x
1
−
5
x
2
+
8
x
3
=
4
(See Exercise 14.)
In Exercises
5
−
16
, find the inverse of the matrix, if it exists. Verify your answer.
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