Using properties of determinants prove that:


Operating R1→R1+ bR �3, R2→R2- aR3





Taking (1+ a2+b2) from R1 and R2



Operating R3→ R3 - 2bR1 + 2aR2



Taking (1+a2+b2) from R3



Expanding with respect to C1


= (1+a2+b2)3 1×[ 1-0]


= (1+a2+b2)3


Hence proved


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