16. Find geometric representations for the vector matroids of the following matrices where \( I_{r} \) is the \( r \times r \) identity matrix, and each matrix is over \( G F(3) \) except the first which is over \( G F(2) \).
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A vector matroid is a matroid that is defined by a set of vectors over a field. In this case, we are looking for the geometric representations of the vector matroids defined by the given matrices. Now, let's go through each matrix one by one: Show more…
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