Given Matrix A:
[tex]A=\begin{bmatrix}{5} & {7} & -3\text{ }0 \\ {} & {} & {} \\ {-2} & {1} & 8{\text{ }11}\end{bmatrix}\text{ }[/tex]
You need to find:
[tex]-A[/tex]
Then, it is important to remember the Sign Rules for Multiplication:
[tex]\begin{gathered} -\cdot-=+ \\ +\cdot+=+ \\ -\cdot+=- \\ +\cdot-=- \end{gathered}[/tex]
Therefore, knowing those rules, you can multiply all the numbers inside the matrix by -1:
[tex]-A=\begin{bmatrix}{-5} & {-7} & 3\text{ }0 \\ {} & {} & {} \\ {2} & {-1} & -8{\text{ -}11}\end{bmatrix}\text{ }[/tex]
Hence, the answer is:
[tex]-A=\begin{bmatrix}{-5} & {-7} & 3\text{ }0 \\ {} & {} & {} \\ {2} & {-1} & -8{\text{ -}11}\end{bmatrix}\text{ }[/tex]
