Израз с матрици

[Гост]

Здравейте, бихте ли ми решили ето тази задачка с матрица:

X=1 2 -1
3 -2 1
4 0 5



B=X²-5X+6E


Благодаря предварително

[Добромир Глухаров]

$X=\left(\begin{array}{rrr}1&2&-1\\3&-2&1\\4&0&5\end{array}\right)$

$X^2=\left(\begin{array}{rrr}1.1+2.3-1.4&1.2+2.(-2)-1.0&1.(-1)+2.1-1.5\\3.1-2.3+1.4&3.2-2.(-2)+1.0&3.(-1)-2.1+1.5\\4.1+0.3+5.4&4.2+0.(-2)+5.0&4.(-1)+0.1+5.5\end{array}\right)=\left(\begin{array}{rrr}3&-2&-4\\1&10&0\\24&8&21\end{array}\right)$

$B=X^2-5X+6E=\left(\begin{array}{rrr}3&-2&-4\\1&10&0\\24&8&21\end{array}\right)-\left(\begin{array}{rrr}5&10&-5\\15&-10&5\\20&0&25\end{array}\right)+\left(\begin{array}{rrr}6&0&0\\0&6&0\\0&0&6\end{array}\right)$

$B=\left(\begin{array}{rrr}4&8&-9\\-14&26&-5\\4&8&2\end{array}\right)$

[Гост]

Благодаря много