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What is the result of multiplication by \[0\] for a matrix \[A\]?

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Question

What is the result of multiplication by \[0\] for a matrix \[A\]?

Options

  • \[0\cdot A=-A\]

  • \[0\cdot A=1\cdot A\]

  • \[0\cdot A=O\]

  • \[0\cdot A=A\]

MCQ
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Solution

Multiplying every entry of \[A\] by \[0\] produces zero in every position. Hence, \[0\cdot A=O\].

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