In Problems 30 − 33 , use the preceding algorithm to reduce A # and then apply back substitution to solve the equivalent system. Technology might be useful in performing the required row operations. The system in problem 8 . 8. 2 x 1 − x 2 + 3 x 3 = 14 3 x 1 + x 2 − 2 x 3 = − 1 7 x 1 + 2 x 2 − 3 x 3 = 3 5 x 1 − x 2 − 2 x 3 = 5
In Problems 30 − 33 , use the preceding algorithm to reduce A # and then apply back substitution to solve the equivalent system. Technology might be useful in performing the required row operations. The system in problem 8 . 8. 2 x 1 − x 2 + 3 x 3 = 14 3 x 1 + x 2 − 2 x 3 = − 1 7 x 1 + 2 x 2 − 3 x 3 = 3 5 x 1 − x 2 − 2 x 3 = 5
Solution Summary: The author explains how to convert the given system of equations to an augmented matrix and use partial pivoting algorithm to obtain the equivalent matrices and solution.
In Problems
30
−
33
, use the preceding algorithm to reduce
A
#
and then apply back substitution to solve the equivalent system. Technology might be useful in performing the required row operations.
The system in problem
8
.
8.
2
x
1
−
x
2
+
3
x
3
=
14
3
x
1
+
x
2
−
2
x
3
=
−
1
7
x
1
+
2
x
2
−
3
x
3
=
3
5
x
1
−
x
2
−
2
x
3
=
5
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