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Mathematics
Mathematics
Problem
Prove that if
A
A
A
is a
2
×
2
2\times 2
2
×
2
matrix with
det
A
≠
0
\det A\neq 0
det
A
=
0
and
B
B
B
is a
2
×
2
2\times 2
2
×
2
matrix satisfying
A
B
=
O
2
×
2
AB=O_{2\times 2}
A
B
=
O
2
×
2
, then
B
=
O
2
×
2
B=O_{2\times 2}
B
=
O
2
×
2
.
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