Question: Exercise 3 (5 points). An m. x 71 matrix A with entries in ]F is called upper triangular if all entries lying below the diagonal

Exercise 3 (5 points). An m. x 71 matrix A with entries in ]F is called upper triangular if all entries lying below the diagonal entries are zero1 that is1 Aj'k = 0 whenever j > k. Prove that the upper triangular matrices farm a subspace of M(m, n, F}
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