Problem

Prove A parte (c) do Teorema.Teorema Propriedades de matrizes zeroSe c for um escalar e se...

Prove A parte (c) do Teorema.

Teorema Propriedades de matrizes zero

Se c for um escalar e se os tamanhos das matrizes forem tais que as operações possam ser efetuadas, então

(a) A + 0 = 0 + A = A

(b) A – 0 = A

(c) AA = A + (–A) = 0

(d) 0A = 0

(e) Se cA = 0, então c = 0 ou A = 0.

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