To determine the dimensions of the given matrix, we need to count the number of rows and the number of columns.
The matrix given is:
[tex]\[
\left[\begin{array}{ccccc}
1 & 0 & 7 & -5 & 9 \\
-2 & 3 & 10 & 8 & 5
\end{array}\right]
\][/tex]
First, let's count the number of rows. A row is a horizontal arrangement of elements.
- The first row is [tex]\([1, 0, 7, -5, 9]\)[/tex].
- The second row is [tex]\([-2, 3, 10, 8, 5]\)[/tex].
So, there are 2 rows in the matrix.
Next, let's count the number of columns. A column is a vertical arrangement of elements.
- The first column is formed by the elements [tex]\(1\)[/tex] and [tex]\(-2\)[/tex].
- The second column is formed by [tex]\(0\)[/tex] and [tex]\(3\)[/tex].
- The third column is formed by [tex]\(7\)[/tex] and [tex]\(10\)[/tex].
- The fourth column is formed by [tex]\(-5\)[/tex] and [tex]\(8\)[/tex].
- The fifth column is formed by [tex]\(9\)[/tex] and [tex]\(5\)[/tex].
So, there are 5 columns in the matrix.
Thus, the dimensions of the matrix are [tex]\(2 \text{ rows} \times 5 \text{ columns}\)[/tex].
Enter your answers in the boxes:
Number of Rows: [tex]\(2\)[/tex]
Number of Columns: [tex]\(5\)[/tex]
