Matrix Operations
Part 1 of 3
Points: 0 of 1
Find the size of the matrix. Identify a square, column, or row matrix. Give the additive inverse of the matrix.
\[
\left[\begin{array}{r}
-3 \\
7
\end{array}\right]
\]

The size of the matrix is $\square \times \square$.

Step 1 ：The given matrix is \[\left[\begin{array}{r}-3 \ 7\end{array}\right]\]

Step 2 ：The size of a matrix is determined by the number of rows and columns it has. In this case, the matrix has 2 rows and 1 column. Therefore, the size of the matrix is \(2 \times 1\).

Step 3 ：This matrix is a column matrix because it has only one column.

Step 4 ：The additive inverse of a matrix is obtained by changing the sign of each element in the matrix. Therefore, the additive inverse of the given matrix is \[\left[\begin{array}{r}3 \ -7\end{array}\right]\]

Step 5 ：\(\boxed{\text{The size of the matrix is } 2 \times 1\text{. This is a column matrix. The additive inverse of the matrix is } \left[\begin{array}{r}3 \ -7\end{array}\right]}\)