If A=[1 0 0
5 1 0
1 3 1] then find matrix B such that AB = I . Verify that BA=I
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AB=1 means matrix B is an identity matrix
that is
[ 1 0 0
0 1 0
0 0 1]
Now
AB= matrix A * matrix B
= [ 1 0 0 [ 1 0 0
5 1 0 * 0 1 0
1 3 1 ] 0 0 1 ]
=[ 1 0 0
0 1 0
0 0 1 ]
= I
Hence AB=BA=I (identity matrix) proved
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