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Which equation states the associative property of matrix addition?

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Question

Which equation states the associative property of matrix addition?

Options

  • \[A+B=B+A\]

  • \[A+(B+C)=(A+B)+C\]

  • \[(A-B)-C=A-(B-C)\]

  • \[A+(B+C)=A+B+C^2\]

MCQ
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Solution

The associative property changes the grouping of three matrices without changing their sum. Thus \[A+(B+C)=(A+B)+C\].

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