Answer
False
Work Step by Step
In the third row, at $t=3$, $\frac{1}{\sqrt(t - 3)}$ is undefined.
So the matrix is not defined for all positive real values.
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.