a. Give the order of the given matrix.
b. If $A = [a_{i j}]$ , identify $a_{32}$ and $a_{23}$ , if possible. $[\begin{array}{rrr} 2 & - 6 & 4 \\ - 2 & 3 & - 8 \end{array}]$
a. The order of the given matrix, in the form $m \times n$ , is $2 \times 3$ .
b. Identify $a_{32}$ . Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. $a_{32} =$
B. Element $a_{32}$ does not exist.
Identify $a_{23}$ . Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. $a_{23} =$
B. Element $a_{23}$ does not exist.

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Final Answer: The order of the matrix is $2 \times 3$ . Element $a_{32}$ does not exist. Element $a_{23}$ is $- 8$ .

Steps

Step 1 ：The order of a matrix is given by the number of rows and columns it has. In this case, the matrix has 2 rows and 3 columns, so its order is $2 \times 3$ .

Step 2 ：The element $a_{32}$ refers to the element in the 3rd row and 2nd column. However, this matrix only has 2 rows, so $a_{32}$ does not exist.

Step 3 ：The element $a_{23}$ refers to the element in the 2nd row and 3rd column. This element does exist in the matrix and is $- 8$ .

Step 4 ：Final Answer: The order of the matrix is $2 \times 3$ . Element $a_{32}$ does not exist. Element $a_{23}$ is $- 8$ .

Answer

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