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Identify the values for the elements in the augmented matrix:

[tex]\[
A=\left[\begin{array}{lll}
a_{11} & a_{12} & a_{13} \\
a_{21} & a_{22} & a_{23}
\end{array}\right]
\][/tex]

[tex]\[
a_{11} = \square
\][/tex]

[tex]\[
a_{12} = \square
\][/tex]

[tex]\[
a_{13} = \square
\][/tex]

[tex]\[
a_{21} = \square
\][/tex]

[tex]\[
a_{22} = \square
\][/tex]

[tex]\[
a_{23} = \square
\][/tex]


Sagot :

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]