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Determinants
The permutation definition, cofactor expansion, multiplicativity, the adjugate, Cramer's rule, and volume.
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Solve
3
x
+
y
=
7
3x+y=7
3
x
+
y
=
7
,
2
x
+
5
y
=
4
2x+5y=4
2
x
+
5
y
=
4
by Cramer's rule and give
x
x
x
.
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y
s
a/b
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x
n
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AC
7
8
9
+
4
5
6
−
1
2
3
×
0
.
a
b
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