Question:
The negative of a matrix is obtained by multiplying it by________
Solution:
Let $A$ be any matrix and $k$ be any scalar. Then
$(-k) A=-(k A)$
Putting $k=1$, we get
$(-1) A=-(1 A)$
$\Rightarrow(-1) A=-A$
Thus, the negative of a matrix $A$ is obtained by multiplying $A$ by $-1$.
The negative of a matrix is obtained by multiplying it by $-1$