#### Answer

a) The order of the matrix is $3\times 4$.
b) The identification of the element ${{a}_{32}}$ is not possible because of ${{a}_{32}}=\frac{1}{2}\text{ and }{{a}_{23}}=\frac{1}{2}$.

#### Work Step by Step

(a)
Since this matrix has three rows and four columns, therefore the order of the matrix is $3\times 4$.
The order of the matrix $A$ is $3\times 4$.
(b)
The notation ${{a}_{23}}$ stands for the element present in the second row and third column of the given matrix. Therefore, ${{a}_{23}}=-6$
Also, the notation ${{a}_{32}}$ stands for the element present in the third row and second column of the given matrix. Therefore, ${{a}_{32}}=\frac{1}{2}$
Hence the identification of the element ${{a}_{32}}$ is not possible because of ${{a}_{32}}=\frac{1}{2}\text{ and }{{a}_{23}}=\frac{1}{2}$.