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The definition of the negative of a matrix is;

The matrix formed as a result of the effect of multiplying each element in a matrix by -1 which means changing the signs of each element in a matrix.

Negative of a matrix

The negative of a matrix is simply defined as the effect of multiplying each element in a matrix by -1 which means changing the signs of each element in a matrix.

For example, let us consider the matrix below;

[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]

The negative of that matrix will be gotten by multiplying each term by -1 to get;

[tex]\left[\begin{array}{ccc}-1&-2&-3\\-4&-5&-6\\-7&-8&-9\end{array}\right][/tex]

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