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Which equality represents multiplication by the negative scalar \[-1\]?

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Question

Which equality represents multiplication by the negative scalar \[-1\]?

Options

  • \[(-1)A=1\cdot A\]

  • \[(-1)A=A\]

  • \[(-1)A=O\]

  • \[(-1)A=-A\]

MCQ
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Solution

A negative scalar of \[-1\] changes the sign of every matrix entry. The resulting matrix is the negative of \[A\], so \[(-1)A=-A\].

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