Answer
See below
Work Step by Step
An example of a $1 \times 5$ matrix function $A$ that is nonconstant such that
all elements of $A(t)$ are positive for all $t$ in $R$ could be:
$\begin{bmatrix}
1& 1 & 1 & 1& \frac{1}{\sqrt t^2+1}
\end{bmatrix}$
Differential Equations and Linear Algebra (4th Edition)
by Goode, Stephen W.; Annin, Scott A.
Published by
Pearson
ISBN 10:
0-32196-467-5
ISBN 13:
978-0-32196-467-0
Chapter 2 - Matrices and Systems of Linear Equations - 2.1 Matrices: Definitions and Notation - Problems - Page 122: 30
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