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Standard IX
Mathematics
Inverse of a Matrix
Let A , B be ...
Question
Let A, B be square matrix such that A B = 0 and B is non singular then
A
|
A
|
must be zero but A may non zero
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B
A must be zero matrix
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C
nothing can be said in general about A
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D
none of these
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Solution
The correct option is
B
A must be zero matrix
A. B = 0
⇒
A. B .
B
−
1
=
0.
B
−
1
⇒
A . I = 0
⇒
A = 0
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