Question

Solve for a, b and c; if
(i) $\left[\begin{array}{cc}-4& 5+5\\ 3& 2\end{array}\right]=\left[\begin{array}{cc}b+4& 2\\ 3& c-1\end{array}\right]$

(ii)$\left[\begin{array}{cc}a& a-b\\ b+c& 0\end{array}\right]=\left[\begin{array}{cc}3& -1\\ 0& 0\end{array}\right]$

Answer 1

for a, b and c; if
(i) $\left[\begin{array}{cc}-4& 5+5\\ 3& 2\end{array}\right]=\left[\begin{array}{cc}b+4& 2\\ 3& c-1\end{array}\right]$

b+4=-4
b=-8
c-1=2
c=3
(ii)$\left[\begin{array}{cc}a& a-b\\ b+c& 0\end{array}\right]=\left[\begin{array}{cc}3& -1\\ 0& 0\end{array}\right]$
a=3
b+c=0
a-b=-1
3-b=-1
b=4
so c=-4