14. Verify the distributive property

Check the distributive property $p(A+B) = pA+ pB$ of the given matrices, where $p = 2$.

 

If $A =\begin{bmatrix} 4 & 7 & 11\\ 6 & 10 & -6\\ -4 & 5 & -3 \end{bmatrix}, B = \begin{bmatrix} 3 & 3 & 0\\ 3 & -5 & -4\\  2 & -5 & -11 \end{bmatrix}$

 

$A + B$ matrix is

 

$p(A + B)$ matrix is

 

$pA$ matrix is

 

$pB$ matrix is

 

$pA+ pB$ matrix is

 

The distributive property of the matrix $p(A+B)$ =≠ $pA+ pB$