Answer
Not an exchange matrix.
Work Step by Step
A matrix is an exchange matrix if the sum of each column is $1$. Here the sum of the first column is $\frac{1}{3}+\frac{1}{2}=\frac{5}{6}\ne1$, thus the matrix is not an exchange matrix.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.