Find the values of `a\ a n d\ b` if `A=B` , where `A=[a+4 3b8-6]` , `B=[2a+2b^2+2 8b^2-56]`

Explanation

Their corresponding elements are equal , Then

\begin{aligned}
&a_{11}=b_{11} ; a+4=2 a+2 \Rightarrow a=2 \\
&a_{12}=b_{12} ; 3 b=b^{2}+2 \Rightarrow b^{2}-3 b+2=0 \Rightarrow b=1,2 \\
&a_{22}=b_{22} ;-6=b^{2}-5 b \Rightarrow b^{2}-5 b+6=0 \Rightarrow b=2,3
\end{aligned}
hence,`a=2` and `b=2`