Let K be a field and let l, m, n E N. Prove the following, taking...

 

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Let K be a field and let l, m, n E N. Prove the following, taking care to set out your proof correctly, with as much detail as is given for similar proofs in the notes (you should locate where these results are stated in the notes, and if necessary find similar ones to use as a templates for your proofs). (a) KVA M(K), ( + )A = + . (b) VAE Mm.n(K), VB, CE Mm(K), (B+C)A= BA + CA. Let K be a field and let l, m, n E N. Prove the following, taking care to set out your proof correctly, with as much detail as is given for similar proofs in the notes (you should locate where these results are stated in the notes, and if necessary find similar ones to use as a templates for your proofs). (a) KVA M(K), ( + )A = + . (b) VAE Mm.n(K), VB, CE Mm(K), (B+C)A= BA + CA.