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Mathematics
Mathematics
Problem
Given the system of equations
k
x
+
y
+
z
=
1
,
kx + y + z = 1,
k
x
+
y
+
z
=
1
,
x
+
k
y
+
z
=
1
,
x + ky + z = 1,
x
+
k
y
+
z
=
1
,
x
+
y
+
k
z
=
k
,
x + y + kz = k,
x
+
y
+
k
z
=
k
,
find the value of
k
k
k
for which the system is inconsistent. a)
k
=
−
2
k=-2
k
=
−
2
b) No value of
k
k
k
makes the system inconsistent c)
k
=
1
k=1
k
=
1
d)
k
=
0
k=0
k
=
0
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