#### Answer

a) The order of the matrix is $2\times 3$.
b) The identification of the element ${{a}_{32}}$ is not possible because of ${{a}_{23}}=\frac{1}{2}$.

#### Work Step by Step

(a)
Since this matrix has two rows and three columns, therefore the order of the matrix is $2\times 3$.
The order of the matrix $A$ is $2\times 3$.
(b)
The notation ${{a}_{23}}$ stands for the element present in the second row and third column of the given matrix. Therefore ${{a}_{23}}=\frac{1}{2}$
Since there are only two rows, therefore, the element ${{a}_{32}}$ present in the third row can never be identified.
Hence, the identification of the element ${{a}_{32}}$ is not possible because of ${{a}_{23}}=\frac{1}{2}$.