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Kunze Linear Algebra
· Problem 5.4.2
Determinants
Mathematics — Methods · cramers-rule
Problem
Use Cramer's rule to solve each of the following systems of linear equations over the field of rational numbers. ((a))
x
+
y
+
z
=
11
x + y + z = 11
x
+
y
+
z
=
11
2
x
−
6
y
−
z
=
0
2x - 6y - z = 0
2
x
−
6
y
−
z
=
0
3
x
+
4
y
+
2
z
=
0
3x + 4y + 2z = 0
3
x
+
4
y
+
2
z
=
0
. ((b))
3
x
−
2
y
=
7
3x - 2y = 7
3
x
−
2
y
=
7
3
y
−
2
z
=
6
3y - 2z = 6
3
y
−
2
z
=
6
3
z
−
2
x
=
−
1
3z - 2x = -1
3
z
−
2
x
=
−
1
.
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