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Mathematics
Mathematics
Problem
Explain briefly why the system
A
X
=
B
AX=B
A
X
=
B
cannot have any solution when
∣
A
∣
=
0
|A|=0
∣
A
∣
=
0
but
(
adj
A
)
B
≠
0
(\operatorname{adj}A)B\neq 0
(
adj
A
)
B
=
0
.
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