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Which equation expresses that the zero matrix absorbs multiplication?

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Question

Which equation expresses that the zero matrix absorbs multiplication?

Options

  • \[AO = OA = O\]

  • \[AO = OA = A\]

  • \[A + O = O\]

  • \[AO = OA = I\]

MCQ
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Solution

The zero matrix absorbs multiplication because every row-by-column product contains only zero terms. Therefore, for compatible matrix orders, \[AO = OA = O\].

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