Certainly! Let's consider the matrix [tex]\( A \)[/tex] given by:
[tex]\[ A = \left[\begin{array}{cc}-4 & -2 \\ -1 & 4 \\ 5 & 3\end{array}\right] \][/tex]
Step-by-Step Solution Explanation:
1. Matrix Dimensions:
- The matrix [tex]\( A \)[/tex] is a [tex]\( 3 \times 2 \)[/tex] matrix, meaning it has 3 rows and 2 columns.
2. Elements of the Matrix:
- The elements of the matrix are:
- First row: -4 and -2
- Second row: -1 and 4
- Third row: 5 and 3
3. Structure and Entries:
- The matrix is structured as:
[tex]\[
A = \left[
\begin{array}{cc}
-4 & -2 \\
-1 & 4 \\
5 & 3
\end{array}\right]
\][/tex]
- Reading row by row:
- From the first row: The first entry is -4 and the second entry is -2.
- From the second row: The first entry is -1 and the second entry is 4.
- From the third row: The first entry is 5 and the second entry is 3.
This breakdown clearly identifies the structure, dimensions, and the specific values contained within the matrix [tex]\( A \)[/tex].
