Let's determine the values of the elements in the given augmented matrix [tex]\( A \)[/tex].
We are given the matrix:
[tex]\[
A = \left[\begin{array}{lll}
a_{11} & a_{12} & a_{13} \\
a_{21} & a_{22} & a_{23}
\end{array}\right]
\][/tex]
We need to identify the specific values for each element [tex]\( a_{11}, a_{12}, a_{13}, a_{21}, a_{22}, \)[/tex] and [tex]\( a_{23} \)[/tex].
From the given information, we know the following:
[tex]\[
a_{11} = 0 \\
a_{12} = 0 \\
a_{13} = 0 \\
a_{21} = 0 \\
a_{22} = 0 \\
a_{23} = 0
\][/tex]
Now, we can fill in these values into the matrix [tex]\( A \)[/tex]:
[tex]\[
A = \left[\begin{array}{lll}
0 & 0 & 0 \\
0 & 0 & 0
\end{array}\right]
\][/tex]
So, the values of the elements in the matrix [tex]\( A \)[/tex] are:
[tex]\[
a_{11} = 0 \\
a_{12} = 0 \\
a_{13} = 0 \\
a_{21} = 0 \\
a_{22} = 0 \\
a_{23} = 0
\][/tex]
Therefore, the augmented matrix and its individual elements are identified as follows:
[tex]\[
A = \left[\begin{array}{lll}
0 & 0 & 0 \\
0 & 0 & 0
\end{array}\right]
\][/tex]
[tex]\[
a_{11} = 0 \\
a_{12} = 0 \\
a_{13} = 0 \\
a_{21} = 0 \\
a_{22} = 0 \\
a_{23} = 0
\][/tex]
