Within Geometric Algebra, is there a way to express a linear operator within the language of geometric algebra?

Within Geometric Algebra, is there a way to express a linear operator
within the language of geometric algebra?

Thanks for your time and effort. I appreciate your help.
I'm new to geometric algebra and I get that it supersedes linear algebra.
I was wondering though how I could learn to take an operator in linear
algebra and express it in terms of geometric algebra?
For example,
Suppose I had the matrix operator:
\begin{vmatrix} \mathbf{1} & \mathbf{ 1} & \mathbf{-1} \\ \mathbf{0} &
\mathbf{ 1} & \mathbf{-1} \\ \mathbf{0} & \mathbf{-1} & \mathbf{ 1} \
\end{vmatrix}
How would I express this same function in the language of geometric algebra?
Thanks for your help.