Let ak-nCk for 0- k- n Ak- ak-1 0- 0 ak - for 1- k- n and B-k-1n-1Ak-Ak-1- a 0- 0 b -

a =a_0 a_1 + a_1a_2 + ... + a_n 2a_n 1 =a_na_1+a_n 1a_2+ ... +a_2a_n 1 as ( a _ k =_ nbsp;^ n C_ k =^ n C_ n k = a _ n k ) = number of w ...

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Singular and Non Singualar Matrices

Let ak=nCk ...

Question

Let $a_{k} =^{n} C_{k}$ for $0 \leq k \leq n$
$A_{k} = [\begin{matrix} a_{k - 1} & 0 0 & a_{k} \end{matrix}]$ for $1 \leq k \leq n$ and $B = n - 1 \sum k = 1 A_{k} . A_{k + 1} = [\begin{matrix} a & 0 0 & b \end{matrix}]$ ,

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