Problem

a. Give the order of the given matrix.
b. If $A=\left[a_{i j}\right]$, identify $a_{32}$ and $a_{23}$, if possible.
\[
\left[\begin{array}{rrr}
2 & -6 & 4 \\
-2 & 3 & -8
\end{array}\right]
\]
a. The order of the given matrix, in the form $m \times n$, is

Answer

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Answer

Final Answer: The elements a_{32} and a_{23} are not defined and -8 respectively.

Steps

Step 1 :The order of a matrix is determined by the number of rows and columns it has. In this case, the given matrix has 2 rows and 3 columns. Therefore, the order of the matrix is 2 x 3.

Step 2 :Looking at the matrix, we can see that the element in the third row and second column (a_{32}) does not exist because the matrix only has 2 rows. Similarly, the element in the second row and third column (a_{23}) is -8.

Step 3 :Final Answer: The order of the given matrix is \(\boxed{2 \times 3}\).

Step 4 :Final Answer: The elements a_{32} and a_{23} are not defined and -8 respectively.

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