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.

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

\(A+ B\) 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