Undergraduate level numerical linear algebra course without dependency on linear algebra?

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Is it possible to create an undergraduate level course on numerical/applied linear algebra without having linear algebra prerequisite? Is there any examples of syllabus?

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A recent example of a textbook (and related courses at Stanford and UCLA) that introduces linear algebra with significant applications and some topics that might be considered numerical linear algebra is Introduction to Applied Linear Algebra: Vectors, Matrices, and Least Squares by Stephen Boyd and Lieven Vandenbergh.

This book sacrifices a lot of topics from a traditional introduction to linear algebra course in order to get to least-squares problems and applications in data science.