Given the matrix:
[tex]\[
\left[\begin{array}{r}
-9 \\
-8
\end{array}\right]
\][/tex]
we need to determine its size and identify whether it is a square, column, or row matrix. To start, let's analyze the structure of the matrix.
### Step-by-Step Solution:
1. Count the number of rows: The matrix has two entries in a vertical line. Each entry in a vertical line represents a row.
[tex]\[
\begin{array}{|c|}
-9 \\
\hline
-8 \\
\hline
\end{array}
\][/tex]
It's visible that we have 2 rows.
2. Count the number of columns: The matrix has values only in a single vertical line, meaning there is only one entry horizontally across.
This shows us that there is 1 column.
3. Determine the size of the matrix: The size of the matrix is given by the number of rows by the number of columns. Thus, for this matrix:
[tex]\[
\text{Size of the matrix} = 2 \times 1
\][/tex]
Since the matrix has 2 rows and 1 column, its size is [tex]\(2 \times 1\)[/tex]. It exhibits the characteristic of being a column matrix because the number of rows is greater than the number of columns.
### Conclusion:
The given matrix
[tex]\[
\left[\begin{array}{r}
-9 \\
-8
\end{array}\right]
\][/tex]
is a column matrix with a size of [tex]\(2 \times 1\)[/tex].
