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If \[A=[a_{ij}]\], which matrix is \[-A\]?

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Question

If \[A=[a_{ij}]\], which matrix is \[-A\]?

Options

  • \[-A=[-a_{ij}]\]

  • \[-A=[a_{ij}+1]\]

  • \[-A=[0]\]

  • \[-A=[a_{ij}]\]

MCQ
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Solution

Each entry of \[A\] is multiplied by \[-1\] to form its negative. Therefore, every \[a_{ij}\] becomes \[-a_{ij}\].

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