Question

Se consideră matricea A(a)=
$\binom{1 \: - 1}{a \: \: \: \: 3}$
arătați că A(-1) +A(1)=2A(0)​

Answer 1

$A(-1)+A(1)= \begin{pmatrix} 1&-1\\ \\-1&3 \end{pmatrix}+ \begin{pmatrix} 1&-1\\ \\1&3 \end{pmatrix}= \begin{pmatrix} 2&-2\\ \\0&6 \end{pmatrix}=2 \begin{pmatrix} 1&-1\\ \\0&3 \end{pmatrix}=2A(0)$