Question

Important question for class12 ​

Answer 1

$\huge\bold{\gray{\sf{Answer:}}}$

$\bold{Explanation:}$

=>Matrices can be added or subtracted.

$\sf{\left[\begin{array}{c c c} y& -3 \\ 3& x\end{array}\right]}$+$\sf{ \left[\begin{array}{c c c} 0& 1 \\ -1 & -2\end{array}\right]}$=$\sf{ \left[\begin{array}{c c c} 2& -2 \\ 1 & 1\end{array}\right]}$

$\sf{\left[\begin{array}{c c c} y+0 & -3+1 \\ 3+(-1) &x+( -2)\end{array}\right]}$=$\sf{\left[\begin{array}{c c c} 2 & -2 \\ 1 & 1\end{array}\right]}$

$\sf{ \left[\begin{array}{c c c} y& -2 \\ 2 &x -2\end{array}\right]}$=$\sf{\left[\begin{array}{c c c} 2& -2 \\ 1 & 1\end{array}\right]}$

$\sf\implies\:$Now,comparing corresponding elements of matrices on the left side with the right side.

$\bold{\red{\boxed{y = 2}}}$

$x - 2 = 1$

$\bold{\blue{\boxed{x = - 3}}}$

Addition of matrices

If A=$\sf{\left[\begin{array}{c c c} a_{11}& a_{12} \\ a_{21}& a_{22}\end{array}\right]}$

And B=$\sf{\left[\begin{array}{c c c} b_{11}& b_{12} \\ b_{21}& b_{22}\end{array}\right]}$

Then ,we define as A+B=$\sf{\left[\begin{array}{c c c} a_{11}+b_{11}& a_{12} +b_{12}\\ a_{21}+b_{21}& a_{22}+b_{22}\end{array}\right]}$

Answer 2

$\huge\bold{\gray{\sf{Answer:}}}$

$\bold{Explanation:}$

=>Matrices can be added or subtracted.

$\sf{\left[\begin{array}{c c c} y& -3 \\ 3& x\end{array}\right]}$+$\sf{ \left[\begin{array}{c c c} 0& 1 \\ -1 & -2\end{array}\right]}$=$\sf{ \left[\begin{array}{c c c} 2& -2 \\ 1 & 1\end{array}\right]}$

$\sf{\left[\begin{array}{c c c} y+0 & -3+1 \\ 3+(-1) &x+( -2)\end{array}\right]}$=$\sf{\left[\begin{array}{c c c} 2 & -2 \\ 1 & 1\end{array}\right]}$

$\sf{ \left[\begin{array}{c c c} y& -2 \\ 2 &x -2\end{array}\right]}$=$\sf{\left[\begin{array}{c c c} 2& -2 \\ 1 & 1\end{array}\right]}$

$\sf\implies\:$Now,comparing corresponding elements of matrices on the left side with the right side.

$\bold{\red{\boxed{y = 2}}}$

$x - 2 = 1$

$\bold{\blue{\boxed{x = - 3}}}$

Addition of matrices

If A=$\sf{\left[\begin{array}{c c c} a_{11}& a_{12} \\ a_{21}& a_{22}\end{array}\right]}$

And B=$\sf{\left[\begin{array}{c c c} b_{11}& b_{12} \\ b_{21}& b_{22}\end{array}\right]}$

Then ,we define as A+B=$\sf{\left[\begin{array}{c c c} a_{11}+b_{11}& a_{12} +b_{12}\\ a_{21}+b_{21}& a_{22}+b_{22}\end{array}\right]}$