For - - y - RLet A - begin bmatrix lalpha - 2 - 6 - 8 13 -beta- 2 - 9114 - 5 - gamma - 2 1lendbmatrix and - B - beginbmatrix 2- lalpha - 3 - 5 l2 - 2 beta- 2 - 6 1 - 4 - 2 -3 31 endbmatrix If T r A - T r B then the value of 1-1-1- Y is -A- 1B- 2C- 3D- 4

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Algebra of Limits

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For $α, β, γ ϵ R$
Let $A = ⎡ ⎢ ⎣ \begin{matrix} α^{2} & 6 & 8 3 & β^{2} & 9 4 & 5 & γ^{2} \end{matrix} ⎤ ⎥ ⎦ a n d B = ⎡ ⎢ ⎣ \begin{matrix} 2^{α} & 3 & 5 2 & 2 β^{2} & 6 1 & 4 & 2 γ - 3 \end{matrix} ⎤ ⎥ ⎦$
If $T_{r} (A) = T_{r} (B)$ then the value of $\frac{1}{α} + \frac{1}{β} + \frac{1}{γ}$ is -

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α, β

γ

C = (A^{- 5} + B^{- 5}) + 5 A^{- 1} B^{- 1} (A^{- 3} + B^{- 3}) + 10 A^{- 2} B^{- 2} (A^{- 1} + B^{- 1})

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