if A(1,1) B(0,0)and C(a,b) then the correct relation among the following is
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Correct option is
B
B should be equal to C.
The matrix A cannot have two inverse. Suppose BA=I and AC=I then B=C. According to this proof by parentheses:
B(AC)=(BA)C
This implies BI=IC
Therefore B=C
This shows that a left-inverse B (multiplying from the left) and a right-inverse C (multiplying A from the right to give AC=I) must be the same matrix.
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