Verify the distributive property — task. Mathematics State Board, Class 10.

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Answer variants:

$[\begin{array}{l} 6 & 6 & 0 \\ 6 & -10 & -8 \\ 4 & -10 & -22 \end{array}]$

$[\begin{array}{l} 14 & 20 & 22 \\ 20 & 0 & -20 \\ -4 & -20 & 0 \end{array}]$

$[\begin{array}{l} 14 & 20 & 22 \\ 18 & 10 & -20 \\ -4 & 0 & -28 \end{array}]$

$[\begin{array}{l} 7 & 10 & 11 \\ 9 & 5 & -10 \\ -2 & 0 & -14 \end{array}]$

$[\begin{array}{l} 8 & 14 & 22 \\ 12 & 20 & -12 \\ -8 & 10 & -6 \end{array}]$

Check the distributive property

$p(A+B) = pA+ pB$ of the given matrices, where

$p = 2$ .

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

$A + B$ matrix is

$p(A + B)$ matrix is

$pA$ matrix is

$pB$ matrix is

$pA+ pB$ matrix is

The distributive property of the matrix

$p(A+B)$

$pA+ pB$

Did you find an error?

14. Verify the distributive property