Answer
The determinant is $\frac{4}{21} $
Work Step by Step
The determinant is
$\frac{5}{7}\times \frac{2}{3} - \frac{1}{3}\times\frac{6}{7}=\frac{10}{21}-\frac{6}{21}=\frac{4}{21} $
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.