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  3. prove 1. for all a, b ? mmn and scalar a, we have

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

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Advance Math

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.

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