Commutative property of matrices — task. Mathematics State Board, Class 10.

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Determine whether the given matrices

$A$ and

$B$ satisfy the Commutative property or not.

$A =\begin{bmatrix} 10 & 4 & 6\\ 7 & 5 & 3\\ 7 & 1 & 7 \end{bmatrix}, B = \begin{bmatrix} 2 & 4 & 6\\ 7 & 5 & 3\\ 7 & 1 & 7 \end{bmatrix}$

$A+ B$ matrix is

$[\begin{array}{l} i & i & i \\ i & i & i \\ i & i & i \end{array}]$

$B + A$ matrix is

$[\begin{array}{l} i & i & i \\ i & i & i \\ i & i & i \end{array}]$

The matrices

$A$ and

$B$ the Commutative property.

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9. Commutative property of matrices