the system of equations x+y+z=6,x+2y+3z=10, x+2y+?z=K is inconsistent for?=l and K is not =m
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x+y+z=6,x+2y+3z=0,x+2y+λz=μ has no solution
⎣
⎢
⎢
⎡
1
1
1
1
2
2
1
3
λ
.
.
.
6
10
μ
⎦
⎥
⎥
⎤
⎣
⎢
⎢
⎡
1
1
0
1
2
0
1
3
3−λ
.
.
.
6
10
10−μ
⎦
⎥
⎥
⎤
Now ∣A∣=0 if λ=3
for λ=3 either infinite solutions exist or no solution exist for no solution μ
=10 if μ=0 infinite solutions exist
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