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Mathematics
Problem
If a real number
k
k
k
and a matrix
A
A
A
satisfy
k
A
=
O
kA = O
k
A
=
O
, where
O
O
O
is the zero matrix of the same order as
A
A
A
, which one of the following must be true? a)
k
=
0
k=0
k
=
0
b)
A
A
A
is the identity matrix c)
k
=
0
k=0
k
=
0
or
A
=
O
A=O
A
=
O
d) Both
k
k
k
and
A
A
A
must be zero
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