Prove 1. For all A, B ∈ Mmn and scalar a, we have A + B,...

Prove

1. For all A, B ∈ Mmn and scalar a, we have
A + B, aA ∈ Mmn.
2. For all A, B ∈ Mmn, A + B = B + A.
3. For all A, B, C ∈ Mmn, (A + B) + C = A + (B + C).

4. For each A ∈ Mmn there is a B ∈ Mmn such that
A + B = 0mn.

Expert Solution

Colby Messinger answered 2 years ago

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