If A−1=⎡⎢⎣sin2α000sin2β000sin2γ⎤⎥⎦ and B−1=⎡⎢⎣cos2α000cos2β000cos2γ⎤⎥⎦ where α,β and γ are real numbers and C=(A−5+B−5)+5A−1B−1(A−3+B−3)+10A−2B−2(A−1+B−1) , then find |C|.___

If A−1=⎡⎢⎣sin2α000sin2β000sin2γ⎤⎥⎦ and B−1=⎡⎢�

1.	If A−1=⎡⎢⎣sin2α000sin2β000sin2γ⎤⎥⎦ and B−1=⎡⎢⎣cos2α000cos2β000cos2γ⎤⎥⎦ where α,β and γ are real numbers and C=(A−5+B−5)+5A−1B−1(A−3+B−3)+10A−2B−2(A−1+B−1) , then find \|C\|.___
Answer» If $A^{- 1} = ⎡ ⎢ ⎣ \begin{matrix} s i n^{2} α & 0 & 0 0 & s i n^{2} β & 0 0 & 0 & s i n^{2} γ \end{matrix} ⎤ ⎥ ⎦$ and $B^{- 1} = ⎡ ⎢ ⎣ \begin{matrix} c o s^{2} α & 0 & 0 0 & c o s^{2} β & 0 0 & 0 & c o s^{2} γ \end{matrix} ⎤ ⎥ ⎦$ where $α, β$ and $γ$ are real numbers and $C = (A^{- 5} + B^{- 5}) + 5 A^{- 1} B^{- 1} (A^{- 3} + B^{- 3}) + 10 A^{- 2} B^{- 2} (A^{- 1} + B^{- 1})$ , then find \|C\|.___