STEM Lessons for College Students

Find the value(s) of h for which the vectors are linearly dependent. Justify each answer.

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Although I used row reduction to solve the problem to find the values of h that output a linearly dependent set of vectors, you could have also taken the determinant of $$A$$ and when $$det{A}=0$$ the set is LD but when $$det{A}neq 0$$ the set is LI. I do not believe that this question is meant for determinants though based on the location of the question in the textbook i.e. you have not gotten there yet. Just food for thought…

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