Question: Problem 2. Determine whether the given subset of GL(3, R) is a subgroup of GL(3, R) (just answer yes or no, no reasons needed.)

Problem 2. Determine whether the given subset of GL(3, R) is a subgroup of GL(3, R) (just answer "yes" or "no", no reasons needed.) (1) The set of 3 3 upper triangular matrices with all diagonal entries 1. (2) The set of invertible 3 3 matrices with all entries non-negative.
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