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

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.