Let ak-k10Ck- bk-10 -k10Ckand Ak- ak 0- 0 bk -If A-k-19Ak- a 0- 0 b - find the value of a - b-

a + b =∑_k=1^9 (a_k+b_k) #160; #160; #160; #160; #160; #160; #160; =10∑_k=1^9 (^10C_k)=10(2^10 2) #160; #160; #160; #160; #1 ...

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Multiplication of Matrices

Let ak=k10C...

Question

Let $a_{k} = k (^{10} C_{k}), b_{k} = (10 - k) (^{10} C_{k})$
and $A_{k} = [\begin{matrix} a_{k} & 0 0 & b_{k} \end{matrix}]$
If $A = 9 \sum k = 1 A_{k} = [\begin{matrix} a & 0 0 & b \end{matrix}]$ , find the value of $a + b .$

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