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Mathematics
Mathematics
Problem
For what values of
p
p
p
and
q
q
q
, the system of equations
x
+
y
+
z
=
6
x + y + z = 6
x
+
y
+
z
=
6
x
+
2
y
+
3
z
=
10
x + 2y + 3z = 10
x
+
2
y
+
3
z
=
10
x
+
2
y
+
p
z
=
q
x + 2y + pz = q
x
+
2
y
+
p
z
=
q
has (i) unique solution? (ii) an infinitely many solutions? (iii) no solution?
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