7 ( + µ)X = X + µX, 8 (X - Y ) = X - Y, 9 ( - µ)X = X - µX. Nende omaduste t~oestused tuginevad tegelikult reaalarvude omaduste- le (1.11)-(1.15). Vaatamata sellele, et nende omaduste t~oestused on u ¨sna sarnased, esitame nad siiski k~oik. T~oestuseks lisame: 1X = 1(xij ) = (1xij ) = (xij ) = X = 1X = X, (-1)X = (-1)(xij ) = ((-1)xij ) = (-xij ) = -X = (-1)X = -X, 0X = 0(xij ) = (0xij ) = (oij ) = = 0X = , = (oij ) = (oij ) = (oij ) = = = , (µ)X = (µ)(xij ) = ((µ)xij ) = ((µxij ) = (µX) = = (µ)X = (µX), (X + Y ) = ((xij ) + (yij )) = ((xij + yij )) = (xij + yij ) = = (xij ) + (yij ) = (xij ) + (yij ) = X + Y = = (X + Y ) = X + Y,
7 (λ + µ)X = λX + µX, ◦ 8 λ(X − Y ) = λX − λY, ◦ 9 (λ − µ)X = λX − µX. Nende omaduste t˜oestused tuginevad tegelikult reaalarvude omaduste- le (1.11)−(1.15). Vaatamata sellele, et nende omaduste t˜oestused on u ¨sna sarnased, esitame nad siiski k˜oik. T˜oestuseks lisame: 1X = 1(xij ) = (1xij ) = (xij ) = X =⇒ 1X = X, (−1)X = (−1)(xij ) = ((−1)xij ) = (−xij ) = −X =⇒ (−1)X = −X, 0X = 0(xij ) = (0xij ) = (oij ) = θ =⇒ 0X = θ, λθ = λ(oij ) = (λoij ) = (oij ) = θ =⇒ λθ = θ, (λµ)X = (λµ)(xij ) = ((λµ)xij ) = (λ(µxij ) = λ(µX) =⇒ =⇒ (λµ)X = λ(µX), λ(X + Y ) = λ((xij ) + (yij )) = (λ(xij + yij )) = (λxij + λyij ) =
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